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Finding the Fourth Proportional to 3,287.50, 4,534.05 and 2,791.42

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Solution

The fourth proportional to 3,287.50, 4,534.05 and 2,791.42 is: 3,849.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,287.50 : 4,534.05 = 2,791.42 : x
  2. Step 2: Convert to fraction form
    3,287.50/4,534.05 = 2,791.42/x
  3. Step 3: Cross multiply
    3,287.50x = 4,534.05 × 2,791.42
  4. Step 4: Simplify right side
    3,287.50x = 12,656,437.85
  5. Step 5: Solve for x
    x = 12,656,437.85/3,287.50
  6. Step 6: Final answer
    x = 3,849.87

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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.