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Finding the Fourth Proportional to 4,164.42, 5,752.56 and 3,869.22

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Solution

The fourth proportional to 4,164.42, 5,752.56 and 3,869.22 is: 5,344.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,164.42 : 5,752.56 = 3,869.22 : x
  2. Step 2: Convert to fraction form
    4,164.42/5,752.56 = 3,869.22/x
  3. Step 3: Cross multiply
    4,164.42x = 5,752.56 × 3,869.22
  4. Step 4: Simplify right side
    4,164.42x = 22,257,920.20
  5. Step 5: Solve for x
    x = 22,257,920.20/4,164.42
  6. Step 6: Final answer
    x = 5,344.78

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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.