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Finding the Fourth Proportional to 5,738.29, 8,607.55 and 1,578.29

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Solution

The fourth proportional to 5,738.29, 8,607.55 and 1,578.29 is: 2,367.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,738.29 : 8,607.55 = 1,578.29 : x
  2. Step 2: Convert to fraction form
    5,738.29/8,607.55 = 1,578.29/x
  3. Step 3: Cross multiply
    5,738.29x = 8,607.55 × 1,578.29
  4. Step 4: Simplify right side
    5,738.29x = 13,585,166.07
  5. Step 5: Solve for x
    x = 13,585,166.07/5,738.29
  6. Step 6: Final answer
    x = 2,367.46

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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.