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Finding the Fourth Proportional to 3,647.43, 5,471.15 and 2,312.90

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Solution

The fourth proportional to 3,647.43, 5,471.15 and 2,312.90 is: 3,469.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,647.43 : 5,471.15 = 2,312.90 : x
  2. Step 2: Convert to fraction form
    3,647.43/5,471.15 = 2,312.90/x
  3. Step 3: Cross multiply
    3,647.43x = 5,471.15 × 2,312.90
  4. Step 4: Simplify right side
    3,647.43x = 12,654,235.21
  5. Step 5: Solve for x
    x = 12,654,235.21/3,647.43
  6. Step 6: Final answer
    x = 3,469.36

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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.