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Finding the Fourth Proportional to 5,626.57, 7,764.66 and 3,142.57

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Solution

The fourth proportional to 5,626.57, 7,764.66 and 3,142.57 is: 4,336.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,626.57 : 7,764.66 = 3,142.57 : x
  2. Step 2: Convert to fraction form
    5,626.57/7,764.66 = 3,142.57/x
  3. Step 3: Cross multiply
    5,626.57x = 7,764.66 × 3,142.57
  4. Step 4: Simplify right side
    5,626.57x = 24,400,987.58
  5. Step 5: Solve for x
    x = 24,400,987.58/5,626.57
  6. Step 6: Final answer
    x = 4,336.74

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.