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Finding the Fourth Proportional to 3,970.53, 5,479.31 and 2,177.97

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Solution

The fourth proportional to 3,970.53, 5,479.31 and 2,177.97 is: 3,005.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.53 : 5,479.31 = 2,177.97 : x
  2. Step 2: Convert to fraction form
    3,970.53/5,479.31 = 2,177.97/x
  3. Step 3: Cross multiply
    3,970.53x = 5,479.31 × 2,177.97
  4. Step 4: Simplify right side
    3,970.53x = 11,933,761.91
  5. Step 5: Solve for x
    x = 11,933,761.91/3,970.53
  6. Step 6: Final answer
    x = 3,005.58

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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.