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Finding the Fourth Proportional to 3,443.91, 5,165.88 and 1,103.88

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Solution

The fourth proportional to 3,443.91, 5,165.88 and 1,103.88 is: 1,655.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.91 : 5,165.88 = 1,103.88 : x
  2. Step 2: Convert to fraction form
    3,443.91/5,165.88 = 1,103.88/x
  3. Step 3: Cross multiply
    3,443.91x = 5,165.88 × 1,103.88
  4. Step 4: Simplify right side
    3,443.91x = 5,702,511.61
  5. Step 5: Solve for x
    x = 5,702,511.61/3,443.91
  6. Step 6: Final answer
    x = 1,655.82

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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.