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Finding the Fourth Proportional to 3,971.68, 5,480.12 and 2,399.86

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Solution

The fourth proportional to 3,971.68, 5,480.12 and 2,399.86 is: 3,311.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,971.68 : 5,480.12 = 2,399.86 : x
  2. Step 2: Convert to fraction form
    3,971.68/5,480.12 = 2,399.86/x
  3. Step 3: Cross multiply
    3,971.68x = 5,480.12 × 2,399.86
  4. Step 4: Simplify right side
    3,971.68x = 13,151,520.78
  5. Step 5: Solve for x
    x = 13,151,520.78/3,971.68
  6. Step 6: Final answer
    x = 3,311.32

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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.