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Finding the Fourth Proportional to 4,174.80, 5,761.08 and 2,406.12

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Solution

The fourth proportional to 4,174.80, 5,761.08 and 2,406.12 is: 3,320.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.80 : 5,761.08 = 2,406.12 : x
  2. Step 2: Convert to fraction form
    4,174.80/5,761.08 = 2,406.12/x
  3. Step 3: Cross multiply
    4,174.80x = 5,761.08 × 2,406.12
  4. Step 4: Simplify right side
    4,174.80x = 13,861,849.81
  5. Step 5: Solve for x
    x = 13,861,849.81/4,174.80
  6. Step 6: Final answer
    x = 3,320.36

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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.