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Finding the Fourth Proportional to 5,898.68, 8,146.56 and 3,665.90

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Solution

The fourth proportional to 5,898.68, 8,146.56 and 3,665.90 is: 5,062.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,898.68 : 8,146.56 = 3,665.90 : x
  2. Step 2: Convert to fraction form
    5,898.68/8,146.56 = 3,665.90/x
  3. Step 3: Cross multiply
    5,898.68x = 8,146.56 × 3,665.90
  4. Step 4: Simplify right side
    5,898.68x = 29,864,474.30
  5. Step 5: Solve for x
    x = 29,864,474.30/5,898.68
  6. Step 6: Final answer
    x = 5,062.91

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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.