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Finding the Fourth Proportional to 3,863.04, 5,787.84 and 2,403.24

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Solution

The fourth proportional to 3,863.04, 5,787.84 and 2,403.24 is: 3,600.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,863.04 : 5,787.84 = 2,403.24 : x
  2. Step 2: Convert to fraction form
    3,863.04/5,787.84 = 2,403.24/x
  3. Step 3: Cross multiply
    3,863.04x = 5,787.84 × 2,403.24
  4. Step 4: Simplify right side
    3,863.04x = 13,909,568.60
  5. Step 5: Solve for x
    x = 13,909,568.60/3,863.04
  6. Step 6: Final answer
    x = 3,600.68

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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.