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Finding the Fourth Proportional to 3,734.67, 5,601.68 and 1,269.24

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Solution

The fourth proportional to 3,734.67, 5,601.68 and 1,269.24 is: 1,903.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,734.67 : 5,601.68 = 1,269.24 : x
  2. Step 2: Convert to fraction form
    3,734.67/5,601.68 = 1,269.24/x
  3. Step 3: Cross multiply
    3,734.67x = 5,601.68 × 1,269.24
  4. Step 4: Simplify right side
    3,734.67x = 7,109,876.32
  5. Step 5: Solve for x
    x = 7,109,876.32/3,734.67
  6. Step 6: Final answer
    x = 1,903.75

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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.