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Finding the Fourth Proportional to 3,443.83, 5,166.08 and 1,103.24

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Solution

The fourth proportional to 3,443.83, 5,166.08 and 1,103.24 is: 1,654.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,443.83 : 5,166.08 = 1,103.24 : x
  2. Step 2: Convert to fraction form
    3,443.83/5,166.08 = 1,103.24/x
  3. Step 3: Cross multiply
    3,443.83x = 5,166.08 × 1,103.24
  4. Step 4: Simplify right side
    3,443.83x = 5,699,426.10
  5. Step 5: Solve for x
    x = 5,699,426.10/3,443.83
  6. Step 6: Final answer
    x = 1,654.97

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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.