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Finding the Fourth Proportional to 3,841.38, 5,762.07 and 2,542.55

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Solution

The fourth proportional to 3,841.38, 5,762.07 and 2,542.55 is: 3,813.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,841.38 : 5,762.07 = 2,542.55 : x
  2. Step 2: Convert to fraction form
    3,841.38/5,762.07 = 2,542.55/x
  3. Step 3: Cross multiply
    3,841.38x = 5,762.07 × 2,542.55
  4. Step 4: Simplify right side
    3,841.38x = 14,650,322.27
  5. Step 5: Solve for x
    x = 14,650,322.27/3,841.38
  6. Step 6: Final answer
    x = 3,813.82

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