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Finding the Fourth Proportional to 3,387.42, 5,080.52 and 1,196.17

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Solution

The fourth proportional to 3,387.42, 5,080.52 and 1,196.17 is: 1,794.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.42 : 5,080.52 = 1,196.17 : x
  2. Step 2: Convert to fraction form
    3,387.42/5,080.52 = 1,196.17/x
  3. Step 3: Cross multiply
    3,387.42x = 5,080.52 × 1,196.17
  4. Step 4: Simplify right side
    3,387.42x = 6,077,155.90
  5. Step 5: Solve for x
    x = 6,077,155.90/3,387.42
  6. Step 6: Final answer
    x = 1,794.04

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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.