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Finding the Fourth Proportional to 4,834.64, 7,251.92 and 1,371.90

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Solution

The fourth proportional to 4,834.64, 7,251.92 and 1,371.90 is: 2,057.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,834.64 : 7,251.92 = 1,371.90 : x
  2. Step 2: Convert to fraction form
    4,834.64/7,251.92 = 1,371.90/x
  3. Step 3: Cross multiply
    4,834.64x = 7,251.92 × 1,371.90
  4. Step 4: Simplify right side
    4,834.64x = 9,948,909.05
  5. Step 5: Solve for x
    x = 9,948,909.05/4,834.64
  6. Step 6: Final answer
    x = 2,057.84

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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.