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Finding the Fourth Proportional to 3,471.90, 5,207.04 and 2,375.97

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Solution

The fourth proportional to 3,471.90, 5,207.04 and 2,375.97 is: 3,563.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.90 : 5,207.04 = 2,375.97 : x
  2. Step 2: Convert to fraction form
    3,471.90/5,207.04 = 2,375.97/x
  3. Step 3: Cross multiply
    3,471.90x = 5,207.04 × 2,375.97
  4. Step 4: Simplify right side
    3,471.90x = 12,371,770.83
  5. Step 5: Solve for x
    x = 12,371,770.83/3,471.90
  6. Step 6: Final answer
    x = 3,563.40

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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.