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Finding the Fourth Proportional to 3,629.92, 5,445.92 and 1,164.68

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Solution

The fourth proportional to 3,629.92, 5,445.92 and 1,164.68 is: 1,747.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,629.92 : 5,445.92 = 1,164.68 : x
  2. Step 2: Convert to fraction form
    3,629.92/5,445.92 = 1,164.68/x
  3. Step 3: Cross multiply
    3,629.92x = 5,445.92 × 1,164.68
  4. Step 4: Simplify right side
    3,629.92x = 6,342,754.11
  5. Step 5: Solve for x
    x = 6,342,754.11/3,629.92
  6. Step 6: Final answer
    x = 1,747.35

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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.