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Finding the Fourth Proportional to 4,527.62, 6,793.98 and 3,537.66

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Solution

The fourth proportional to 4,527.62, 6,793.98 and 3,537.66 is: 5,308.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,527.62 : 6,793.98 = 3,537.66 : x
  2. Step 2: Convert to fraction form
    4,527.62/6,793.98 = 3,537.66/x
  3. Step 3: Cross multiply
    4,527.62x = 6,793.98 × 3,537.66
  4. Step 4: Simplify right side
    4,527.62x = 24,034,791.29
  5. Step 5: Solve for x
    x = 24,034,791.29/4,527.62
  6. Step 6: Final answer
    x = 5,308.48

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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.