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Finding the Fourth Proportional to 3,426.88, 5,159 and 2,338.10

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Solution

The fourth proportional to 3,426.88, 5,159 and 2,338.10 is: 3,519.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,426.88 : 5,159 = 2,338.10 : x
  2. Step 2: Convert to fraction form
    3,426.88/5,159 = 2,338.10/x
  3. Step 3: Cross multiply
    3,426.88x = 5,159 × 2,338.10
  4. Step 4: Simplify right side
    3,426.88x = 12,062,257.90
  5. Step 5: Solve for x
    x = 12,062,257.90/3,426.88
  6. Step 6: Final answer
    x = 3,519.90

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.