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Finding the Fourth Proportional to 3,909.42, 5,395.68 and 2,338.38

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Solution

The fourth proportional to 3,909.42, 5,395.68 and 2,338.38 is: 3,227.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.42 : 5,395.68 = 2,338.38 : x
  2. Step 2: Convert to fraction form
    3,909.42/5,395.68 = 2,338.38/x
  3. Step 3: Cross multiply
    3,909.42x = 5,395.68 × 2,338.38
  4. Step 4: Simplify right side
    3,909.42x = 12,617,150.20
  5. Step 5: Solve for x
    x = 12,617,150.20/3,909.42
  6. Step 6: Final answer
    x = 3,227.37

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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.