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Finding the Fourth Proportional to 3,909.44, 5,864.46 and 2,881.56

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Solution

The fourth proportional to 3,909.44, 5,864.46 and 2,881.56 is: 4,322.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.44 : 5,864.46 = 2,881.56 : x
  2. Step 2: Convert to fraction form
    3,909.44/5,864.46 = 2,881.56/x
  3. Step 3: Cross multiply
    3,909.44x = 5,864.46 × 2,881.56
  4. Step 4: Simplify right side
    3,909.44x = 16,898,793.36
  5. Step 5: Solve for x
    x = 16,898,793.36/3,909.44
  6. Step 6: Final answer
    x = 4,322.56

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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.