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Finding the Fourth Proportional to 5,738.39, 8,607.60 and 1,578.23

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Solution

The fourth proportional to 5,738.39, 8,607.60 and 1,578.23 is: 2,367.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.39 : 8,607.60 = 1,578.23 : x
  2. Step 2: Convert to fraction form
    5,738.39/8,607.60 = 1,578.23/x
  3. Step 3: Cross multiply
    5,738.39x = 8,607.60 × 1,578.23
  4. Step 4: Simplify right side
    5,738.39x = 13,584,772.55
  5. Step 5: Solve for x
    x = 13,584,772.55/5,738.39
  6. Step 6: Final answer
    x = 2,367.35

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Double scale
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Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.