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Finding the Fourth Proportional to 3,694.12, 5,540.10 and 1,385.08

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Solution

The fourth proportional to 3,694.12, 5,540.10 and 1,385.08 is: 2,077.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,694.12 : 5,540.10 = 1,385.08 : x
  2. Step 2: Convert to fraction form
    3,694.12/5,540.10 = 1,385.08/x
  3. Step 3: Cross multiply
    3,694.12x = 5,540.10 × 1,385.08
  4. Step 4: Simplify right side
    3,694.12x = 7,673,481.71
  5. Step 5: Solve for x
    x = 7,673,481.71/3,694.12
  6. Step 6: Final answer
    x = 2,077.22

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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.