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Finding the Fourth Proportional to 3,884.38, 5,359.71 and 2,291.53

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Solution

The fourth proportional to 3,884.38, 5,359.71 and 2,291.53 is: 3,161.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,884.38 : 5,359.71 = 2,291.53 : x
  2. Step 2: Convert to fraction form
    3,884.38/5,359.71 = 2,291.53/x
  3. Step 3: Cross multiply
    3,884.38x = 5,359.71 × 2,291.53
  4. Step 4: Simplify right side
    3,884.38x = 12,281,924.80
  5. Step 5: Solve for x
    x = 12,281,924.80/3,884.38
  6. Step 6: Final answer
    x = 3,161.88

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.