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Finding the Fourth Proportional to 3,631.67, 5,447.20 and 1,165.83

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Solution

The fourth proportional to 3,631.67, 5,447.20 and 1,165.83 is: 1,748.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.67 : 5,447.20 = 1,165.83 : x
  2. Step 2: Convert to fraction form
    3,631.67/5,447.20 = 1,165.83/x
  3. Step 3: Cross multiply
    3,631.67x = 5,447.20 × 1,165.83
  4. Step 4: Simplify right side
    3,631.67x = 6,350,509.18
  5. Step 5: Solve for x
    x = 6,350,509.18/3,631.67
  6. Step 6: Final answer
    x = 1,748.65

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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.