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Finding the Fourth Proportional to 3,976.31, 5,489.12 and 2,560.67

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Solution

The fourth proportional to 3,976.31, 5,489.12 and 2,560.67 is: 3,534.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,976.31 : 5,489.12 = 2,560.67 : x
  2. Step 2: Convert to fraction form
    3,976.31/5,489.12 = 2,560.67/x
  3. Step 3: Cross multiply
    3,976.31x = 5,489.12 × 2,560.67
  4. Step 4: Simplify right side
    3,976.31x = 14,055,824.91
  5. Step 5: Solve for x
    x = 14,055,824.91/3,976.31
  6. Step 6: Final answer
    x = 3,534.89

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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.