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Finding the Fourth Proportional to 5,170.64, 7,753.22 and 4,766.04

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Solution

The fourth proportional to 5,170.64, 7,753.22 and 4,766.04 is: 7,146.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,170.64 : 7,753.22 = 4,766.04 : x
  2. Step 2: Convert to fraction form
    5,170.64/7,753.22 = 4,766.04/x
  3. Step 3: Cross multiply
    5,170.64x = 7,753.22 × 4,766.04
  4. Step 4: Simplify right side
    5,170.64x = 36,952,150.69
  5. Step 5: Solve for x
    x = 36,952,150.69/5,170.64
  6. Step 6: Final answer
    x = 7,146.54

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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.