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Finding the Fourth Proportional to 4,761.12, 7,141.84 and 4,220.04

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Solution

The fourth proportional to 4,761.12, 7,141.84 and 4,220.04 is: 6,330.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.12 : 7,141.84 = 4,220.04 : x
  2. Step 2: Convert to fraction form
    4,761.12/7,141.84 = 4,220.04/x
  3. Step 3: Cross multiply
    4,761.12x = 7,141.84 × 4,220.04
  4. Step 4: Simplify right side
    4,761.12x = 30,138,850.47
  5. Step 5: Solve for x
    x = 30,138,850.47/4,761.12
  6. Step 6: Final answer
    x = 6,330.20

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