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Finding the Fourth Proportional to 3,691.85, 5,538.33 and 1,500.72

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Solution

The fourth proportional to 3,691.85, 5,538.33 and 1,500.72 is: 2,251.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,691.85 : 5,538.33 = 1,500.72 : x
  2. Step 2: Convert to fraction form
    3,691.85/5,538.33 = 1,500.72/x
  3. Step 3: Cross multiply
    3,691.85x = 5,538.33 × 1,500.72
  4. Step 4: Simplify right side
    3,691.85x = 8,311,482.60
  5. Step 5: Solve for x
    x = 8,311,482.60/3,691.85
  6. Step 6: Final answer
    x = 2,251.31

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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.