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Finding the Fourth Proportional to 3,899.27, 5,875.22 and 3,221.13

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Solution

The fourth proportional to 3,899.27, 5,875.22 and 3,221.13 is: 4,853.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.27 : 5,875.22 = 3,221.13 : x
  2. Step 2: Convert to fraction form
    3,899.27/5,875.22 = 3,221.13/x
  3. Step 3: Cross multiply
    3,899.27x = 5,875.22 × 3,221.13
  4. Step 4: Simplify right side
    3,899.27x = 18,924,847.40
  5. Step 5: Solve for x
    x = 18,924,847.40/3,899.27
  6. Step 6: Final answer
    x = 4,853.43

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.