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Finding the Fourth Proportional to 3,633.15, 5,447.03 and 1,166.55

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Solution

The fourth proportional to 3,633.15, 5,447.03 and 1,166.55 is: 1,748.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.15 : 5,447.03 = 1,166.55 : x
  2. Step 2: Convert to fraction form
    3,633.15/5,447.03 = 1,166.55/x
  3. Step 3: Cross multiply
    3,633.15x = 5,447.03 × 1,166.55
  4. Step 4: Simplify right side
    3,633.15x = 6,354,227.01
  5. Step 5: Solve for x
    x = 6,354,227.01/3,633.15
  6. Step 6: Final answer
    x = 1,748.96

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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.