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Finding the Fourth Proportional to 5,116.50, 7,061.17 and 2,878.24

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Solution

The fourth proportional to 5,116.50, 7,061.17 and 2,878.24 is: 3,972.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.50 : 7,061.17 = 2,878.24 : x
  2. Step 2: Convert to fraction form
    5,116.50/7,061.17 = 2,878.24/x
  3. Step 3: Cross multiply
    5,116.50x = 7,061.17 × 2,878.24
  4. Step 4: Simplify right side
    5,116.50x = 20,323,735.08
  5. Step 5: Solve for x
    x = 20,323,735.08/5,116.50
  6. Step 6: Final answer
    x = 3,972.20

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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.