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Finding the Fourth Proportional to 5,537.73, 7,642.72 and 3,148.07

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Solution

The fourth proportional to 5,537.73, 7,642.72 and 3,148.07 is: 4,344.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,537.73 : 7,642.72 = 3,148.07 : x
  2. Step 2: Convert to fraction form
    5,537.73/7,642.72 = 3,148.07/x
  3. Step 3: Cross multiply
    5,537.73x = 7,642.72 × 3,148.07
  4. Step 4: Simplify right side
    5,537.73x = 24,059,817.55
  5. Step 5: Solve for x
    x = 24,059,817.55/5,537.73
  6. Step 6: Final answer
    x = 4,344.71

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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.