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Finding the Fourth Proportional to 4,174.90, 5,761.98 and 2,406.22

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Solution

The fourth proportional to 4,174.90, 5,761.98 and 2,406.22 is: 3,320.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.90 : 5,761.98 = 2,406.22 : x
  2. Step 2: Convert to fraction form
    4,174.90/5,761.98 = 2,406.22/x
  3. Step 3: Cross multiply
    4,174.90x = 5,761.98 × 2,406.22
  4. Step 4: Simplify right side
    4,174.90x = 13,864,591.52
  5. Step 5: Solve for x
    x = 13,864,591.52/4,174.90
  6. Step 6: Final answer
    x = 3,320.94

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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.