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Finding the Fourth Proportional to 3,909.32, 5,863.37 and 1,443.58

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Solution

The fourth proportional to 3,909.32, 5,863.37 and 1,443.58 is: 2,165.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,909.32 : 5,863.37 = 1,443.58 : x
  2. Step 2: Convert to fraction form
    3,909.32/5,863.37 = 1,443.58/x
  3. Step 3: Cross multiply
    3,909.32x = 5,863.37 × 1,443.58
  4. Step 4: Simplify right side
    3,909.32x = 8,464,239.94
  5. Step 5: Solve for x
    x = 8,464,239.94/3,909.32
  6. Step 6: Final answer
    x = 2,165.14

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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.