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Finding the Fourth Proportional to 6,154.47, 8,490.42 and 4,032.27

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Solution

The fourth proportional to 6,154.47, 8,490.42 and 4,032.27 is: 5,562.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,154.47 : 8,490.42 = 4,032.27 : x
  2. Step 2: Convert to fraction form
    6,154.47/8,490.42 = 4,032.27/x
  3. Step 3: Cross multiply
    6,154.47x = 8,490.42 × 4,032.27
  4. Step 4: Simplify right side
    6,154.47x = 34,235,665.85
  5. Step 5: Solve for x
    x = 34,235,665.85/6,154.47
  6. Step 6: Final answer
    x = 5,562.73

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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.