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Finding the Fourth Proportional to 5,240.72, 7,854.14 and 2,862.70

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Solution

The fourth proportional to 5,240.72, 7,854.14 and 2,862.70 is: 4,290.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,240.72 : 7,854.14 = 2,862.70 : x
  2. Step 2: Convert to fraction form
    5,240.72/7,854.14 = 2,862.70/x
  3. Step 3: Cross multiply
    5,240.72x = 7,854.14 × 2,862.70
  4. Step 4: Simplify right side
    5,240.72x = 22,484,046.58
  5. Step 5: Solve for x
    x = 22,484,046.58/5,240.72
  6. Step 6: Final answer
    x = 4,290.26

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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.