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Finding the Fourth Proportional to 4,174.62, 5,761.20 and 2,406.30

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Solution

The fourth proportional to 4,174.62, 5,761.20 and 2,406.30 is: 3,320.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.62 : 5,761.20 = 2,406.30 : x
  2. Step 2: Convert to fraction form
    4,174.62/5,761.20 = 2,406.30/x
  3. Step 3: Cross multiply
    4,174.62x = 5,761.20 × 2,406.30
  4. Step 4: Simplify right side
    4,174.62x = 13,863,175.56
  5. Step 5: Solve for x
    x = 13,863,175.56/4,174.62
  6. Step 6: Final answer
    x = 3,320.82

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.