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Finding the Fourth Proportional to 3,934.64, 5,900.45 and 1,468.90

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Solution

The fourth proportional to 3,934.64, 5,900.45 and 1,468.90 is: 2,202.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.64 : 5,900.45 = 1,468.90 : x
  2. Step 2: Convert to fraction form
    3,934.64/5,900.45 = 1,468.90/x
  3. Step 3: Cross multiply
    3,934.64x = 5,900.45 × 1,468.90
  4. Step 4: Simplify right side
    3,934.64x = 8,667,171.04
  5. Step 5: Solve for x
    x = 8,667,171.04/3,934.64
  6. Step 6: Final answer
    x = 2,202.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.