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Finding the Fourth Proportional to 3,934.32, 5,901.04 and 2,469.12

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Solution

The fourth proportional to 3,934.32, 5,901.04 and 2,469.12 is: 3,703.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,934.32 : 5,901.04 = 2,469.12 : x
  2. Step 2: Convert to fraction form
    3,934.32/5,901.04 = 2,469.12/x
  3. Step 3: Cross multiply
    3,934.32x = 5,901.04 × 2,469.12
  4. Step 4: Simplify right side
    3,934.32x = 14,570,375.88
  5. Step 5: Solve for x
    x = 14,570,375.88/3,934.32
  6. Step 6: Final answer
    x = 3,703.40

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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.