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Finding the Fourth Proportional to 5,116.79, 7,665.14 and 2,653.22

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Solution

The fourth proportional to 5,116.79, 7,665.14 and 2,653.22 is: 3,974.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,116.79 : 7,665.14 = 2,653.22 : x
  2. Step 2: Convert to fraction form
    5,116.79/7,665.14 = 2,653.22/x
  3. Step 3: Cross multiply
    5,116.79x = 7,665.14 × 2,653.22
  4. Step 4: Simplify right side
    5,116.79x = 20,337,251.16
  5. Step 5: Solve for x
    x = 20,337,251.16/5,116.79
  6. Step 6: Final answer
    x = 3,974.62

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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.