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Finding the Fourth Proportional to 3,983.64, 5,986.08 and 2,037.12

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Solution

The fourth proportional to 3,983.64, 5,986.08 and 2,037.12 is: 3,061.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.64 : 5,986.08 = 2,037.12 : x
  2. Step 2: Convert to fraction form
    3,983.64/5,986.08 = 2,037.12/x
  3. Step 3: Cross multiply
    3,983.64x = 5,986.08 × 2,037.12
  4. Step 4: Simplify right side
    3,983.64x = 12,194,363.29
  5. Step 5: Solve for x
    x = 12,194,363.29/3,983.64
  6. Step 6: Final answer
    x = 3,061.11

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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.