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Finding the Fourth Proportional to 3,694.35, 5,540.24 and 1,061.14

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Solution

The fourth proportional to 3,694.35, 5,540.24 and 1,061.14 is: 1,591.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.35 : 5,540.24 = 1,061.14 : x
  2. Step 2: Convert to fraction form
    3,694.35/5,540.24 = 1,061.14/x
  3. Step 3: Cross multiply
    3,694.35x = 5,540.24 × 1,061.14
  4. Step 4: Simplify right side
    3,694.35x = 5,878,970.27
  5. Step 5: Solve for x
    x = 5,878,970.27/3,694.35
  6. Step 6: Final answer
    x = 1,591.34

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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.