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Finding the Fourth Proportional to 3,693.57, 5,541.96 and 1,938.15

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Solution

The fourth proportional to 3,693.57, 5,541.96 and 1,938.15 is: 2,908.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,693.57 : 5,541.96 = 1,938.15 : x
  2. Step 2: Convert to fraction form
    3,693.57/5,541.96 = 1,938.15/x
  3. Step 3: Cross multiply
    3,693.57x = 5,541.96 × 1,938.15
  4. Step 4: Simplify right side
    3,693.57x = 10,741,177.08
  5. Step 5: Solve for x
    x = 10,741,177.08/3,693.57
  6. Step 6: Final answer
    x = 2,908.07

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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.