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Finding the Fourth Proportional to 3,990.16, 5,983.57 and 1,909.68

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Solution

The fourth proportional to 3,990.16, 5,983.57 and 1,909.68 is: 2,863.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,990.16 : 5,983.57 = 1,909.68 : x
  2. Step 2: Convert to fraction form
    3,990.16/5,983.57 = 1,909.68/x
  3. Step 3: Cross multiply
    3,990.16x = 5,983.57 × 1,909.68
  4. Step 4: Simplify right side
    3,990.16x = 11,426,683.91
  5. Step 5: Solve for x
    x = 11,426,683.91/3,990.16
  6. Step 6: Final answer
    x = 2,863.71

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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.