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Finding the Fourth Proportional to 3,853.02, 5,781.24 and 3,524.88

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Solution

The fourth proportional to 3,853.02, 5,781.24 and 3,524.88 is: 5,288.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,853.02 : 5,781.24 = 3,524.88 : x
  2. Step 2: Convert to fraction form
    3,853.02/5,781.24 = 3,524.88/x
  3. Step 3: Cross multiply
    3,853.02x = 5,781.24 × 3,524.88
  4. Step 4: Simplify right side
    3,853.02x = 20,378,177.25
  5. Step 5: Solve for x
    x = 20,378,177.25/3,853.02
  6. Step 6: Final answer
    x = 5,288.88

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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.