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Finding the Fourth Proportional to 5,108.69, 7,665.22 and 2,478.14

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Solution

The fourth proportional to 5,108.69, 7,665.22 and 2,478.14 is: 3,718.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,108.69 : 7,665.22 = 2,478.14 : x
  2. Step 2: Convert to fraction form
    5,108.69/7,665.22 = 2,478.14/x
  3. Step 3: Cross multiply
    5,108.69x = 7,665.22 × 2,478.14
  4. Step 4: Simplify right side
    5,108.69x = 18,995,488.29
  5. Step 5: Solve for x
    x = 18,995,488.29/5,108.69
  6. Step 6: Final answer
    x = 3,718.27

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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.