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Finding the Fourth Proportional to 3,694.53, 5,540.54 and 1,061.34

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Solution

The fourth proportional to 3,694.53, 5,540.54 and 1,061.34 is: 1,591.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.53 : 5,540.54 = 1,061.34 : x
  2. Step 2: Convert to fraction form
    3,694.53/5,540.54 = 1,061.34/x
  3. Step 3: Cross multiply
    3,694.53x = 5,540.54 × 1,061.34
  4. Step 4: Simplify right side
    3,694.53x = 5,880,391.42
  5. Step 5: Solve for x
    x = 5,880,391.42/3,694.53
  6. Step 6: Final answer
    x = 1,591.65

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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.