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Finding the Fourth Proportional to 5,129.67, 7,686.68 and 2,665.29

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Solution

The fourth proportional to 5,129.67, 7,686.68 and 2,665.29 is: 3,993.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,129.67 : 7,686.68 = 2,665.29 : x
  2. Step 2: Convert to fraction form
    5,129.67/7,686.68 = 2,665.29/x
  3. Step 3: Cross multiply
    5,129.67x = 7,686.68 × 2,665.29
  4. Step 4: Simplify right side
    5,129.67x = 20,487,218.01
  5. Step 5: Solve for x
    x = 20,487,218.01/5,129.67
  6. Step 6: Final answer
    x = 3,993.87

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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.