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Finding the Fourth Proportional to 3,862.86, 5,329.35 and 2,537.28

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Solution

The fourth proportional to 3,862.86, 5,329.35 and 2,537.28 is: 3,500.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,862.86 : 5,329.35 = 2,537.28 : x
  2. Step 2: Convert to fraction form
    3,862.86/5,329.35 = 2,537.28/x
  3. Step 3: Cross multiply
    3,862.86x = 5,329.35 × 2,537.28
  4. Step 4: Simplify right side
    3,862.86x = 13,522,053.17
  5. Step 5: Solve for x
    x = 13,522,053.17/3,862.86
  6. Step 6: Final answer
    x = 3,500.53

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