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Finding the Fourth Proportional to 3,540.70, 5,312.67 and 1,691.86

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Solution

The fourth proportional to 3,540.70, 5,312.67 and 1,691.86 is: 2,538.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,540.70 : 5,312.67 = 1,691.86 : x
  2. Step 2: Convert to fraction form
    3,540.70/5,312.67 = 1,691.86/x
  3. Step 3: Cross multiply
    3,540.70x = 5,312.67 × 1,691.86
  4. Step 4: Simplify right side
    3,540.70x = 8,988,293.87
  5. Step 5: Solve for x
    x = 8,988,293.87/3,540.70
  6. Step 6: Final answer
    x = 2,538.56

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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.