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Finding the Fourth Proportional to 4,964.76, 7,454.28 and 4,355.85

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Solution

The fourth proportional to 4,964.76, 7,454.28 and 4,355.85 is: 6,540.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,964.76 : 7,454.28 = 4,355.85 : x
  2. Step 2: Convert to fraction form
    4,964.76/7,454.28 = 4,355.85/x
  3. Step 3: Cross multiply
    4,964.76x = 7,454.28 × 4,355.85
  4. Step 4: Simplify right side
    4,964.76x = 32,469,725.54
  5. Step 5: Solve for x
    x = 32,469,725.54/4,964.76
  6. Step 6: Final answer
    x = 6,540.04

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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.