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Finding the Fourth Proportional to 3,863.60, 5,796.41 and 1,671.81

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Solution

The fourth proportional to 3,863.60, 5,796.41 and 1,671.81 is: 2,508.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.60 : 5,796.41 = 1,671.81 : x
  2. Step 2: Convert to fraction form
    3,863.60/5,796.41 = 1,671.81/x
  3. Step 3: Cross multiply
    3,863.60x = 5,796.41 × 1,671.81
  4. Step 4: Simplify right side
    3,863.60x = 9,690,487.84
  5. Step 5: Solve for x
    x = 9,690,487.84/3,863.60
  6. Step 6: Final answer
    x = 2,508.15

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Why These Related Problems?

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