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Finding the Fourth Proportional to 4,174.98, 5,759.70 and 2,406.22

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Solution

The fourth proportional to 4,174.98, 5,759.70 and 2,406.22 is: 3,319.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.98 : 5,759.70 = 2,406.22 : x
  2. Step 2: Convert to fraction form
    4,174.98/5,759.70 = 2,406.22/x
  3. Step 3: Cross multiply
    4,174.98x = 5,759.70 × 2,406.22
  4. Step 4: Simplify right side
    4,174.98x = 13,859,105.33
  5. Step 5: Solve for x
    x = 13,859,105.33/4,174.98
  6. Step 6: Final answer
    x = 3,319.56

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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.