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Finding the Fourth Proportional to 3,909.57, 5,863.75 and 1,443.83

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Solution

The fourth proportional to 3,909.57, 5,863.75 and 1,443.83 is: 2,165.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.57 : 5,863.75 = 1,443.83 : x
  2. Step 2: Convert to fraction form
    3,909.57/5,863.75 = 1,443.83/x
  3. Step 3: Cross multiply
    3,909.57x = 5,863.75 × 1,443.83
  4. Step 4: Simplify right side
    3,909.57x = 8,466,254.55
  5. Step 5: Solve for x
    x = 8,466,254.55/3,909.57
  6. Step 6: Final answer
    x = 2,165.52

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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.