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Finding the Fourth Proportional to 3,909.80, 5,395.47 and 2,141.30

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Solution

The fourth proportional to 3,909.80, 5,395.47 and 2,141.30 is: 2,954.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.80 : 5,395.47 = 2,141.30 : x
  2. Step 2: Convert to fraction form
    3,909.80/5,395.47 = 2,141.30/x
  3. Step 3: Cross multiply
    3,909.80x = 5,395.47 × 2,141.30
  4. Step 4: Simplify right side
    3,909.80x = 11,553,319.91
  5. Step 5: Solve for x
    x = 11,553,319.91/3,909.80
  6. Step 6: Final answer
    x = 2,954.96

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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.