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Finding the Fourth Proportional to 3,899.43, 5,849.82 and 1,708.11

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Solution

The fourth proportional to 3,899.43, 5,849.82 and 1,708.11 is: 2,562.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.43 : 5,849.82 = 1,708.11 : x
  2. Step 2: Convert to fraction form
    3,899.43/5,849.82 = 1,708.11/x
  3. Step 3: Cross multiply
    3,899.43x = 5,849.82 × 1,708.11
  4. Step 4: Simplify right side
    3,899.43x = 9,992,136.04
  5. Step 5: Solve for x
    x = 9,992,136.04/3,899.43
  6. Step 6: Final answer
    x = 2,562.46

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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.