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Finding the Fourth Proportional to 4,761.42, 7,144.83 and 3,202.17

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Solution

The fourth proportional to 4,761.42, 7,144.83 and 3,202.17 is: 4,805.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,761.42 : 7,144.83 = 3,202.17 : x
  2. Step 2: Convert to fraction form
    4,761.42/7,144.83 = 3,202.17/x
  3. Step 3: Cross multiply
    4,761.42x = 7,144.83 × 3,202.17
  4. Step 4: Simplify right side
    4,761.42x = 22,878,960.28
  5. Step 5: Solve for x
    x = 22,878,960.28/4,761.42
  6. Step 6: Final answer
    x = 4,805.07

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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.