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Finding the Fourth Proportional to 6,098.38, 9,150.64 and 2,589.28

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Solution

The fourth proportional to 6,098.38, 9,150.64 and 2,589.28 is: 3,885.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,098.38 : 9,150.64 = 2,589.28 : x
  2. Step 2: Convert to fraction form
    6,098.38/9,150.64 = 2,589.28/x
  3. Step 3: Cross multiply
    6,098.38x = 9,150.64 × 2,589.28
  4. Step 4: Simplify right side
    6,098.38x = 23,693,569.14
  5. Step 5: Solve for x
    x = 23,693,569.14/6,098.38
  6. Step 6: Final answer
    x = 3,885.22

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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.