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Finding the Fourth Proportional to 3,970.89, 5,952.69 and 2,123.28

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Solution

The fourth proportional to 3,970.89, 5,952.69 and 2,123.28 is: 3,182.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,970.89 : 5,952.69 = 2,123.28 : x
  2. Step 2: Convert to fraction form
    3,970.89/5,952.69 = 2,123.28/x
  3. Step 3: Cross multiply
    3,970.89x = 5,952.69 × 2,123.28
  4. Step 4: Simplify right side
    3,970.89x = 12,639,227.62
  5. Step 5: Solve for x
    x = 12,639,227.62/3,970.89
  6. Step 6: Final answer
    x = 3,182.97

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.