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Finding the Fourth Proportional to 5,538.73, 8,306.47 and 4,562.41

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Solution

The fourth proportional to 5,538.73, 8,306.47 and 4,562.41 is: 6,842.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,538.73 : 8,306.47 = 4,562.41 : x
  2. Step 2: Convert to fraction form
    5,538.73/8,306.47 = 4,562.41/x
  3. Step 3: Cross multiply
    5,538.73x = 8,306.47 × 4,562.41
  4. Step 4: Simplify right side
    5,538.73x = 37,897,521.79
  5. Step 5: Solve for x
    x = 37,897,521.79/5,538.73
  6. Step 6: Final answer
    x = 6,842.28

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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.