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Finding the Fourth Proportional to 3,969.68, 5,960 and 2,023.24

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Solution

The fourth proportional to 3,969.68, 5,960 and 2,023.24 is: 3,037.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.68 : 5,960 = 2,023.24 : x
  2. Step 2: Convert to fraction form
    3,969.68/5,960 = 2,023.24/x
  3. Step 3: Cross multiply
    3,969.68x = 5,960 × 2,023.24
  4. Step 4: Simplify right side
    3,969.68x = 12,058,510.40
  5. Step 5: Solve for x
    x = 12,058,510.40/3,969.68
  6. Step 6: Final answer
    x = 3,037.65

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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.