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Finding the Fourth Proportional to 3,631.04, 5,447.24 and 1,166.48

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Solution

The fourth proportional to 3,631.04, 5,447.24 and 1,166.48 is: 1,749.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,631.04 : 5,447.24 = 1,166.48 : x
  2. Step 2: Convert to fraction form
    3,631.04/5,447.24 = 1,166.48/x
  3. Step 3: Cross multiply
    3,631.04x = 5,447.24 × 1,166.48
  4. Step 4: Simplify right side
    3,631.04x = 6,354,096.52
  5. Step 5: Solve for x
    x = 6,354,096.52/3,631.04
  6. Step 6: Final answer
    x = 1,749.94

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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.