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Finding the Fourth Proportional to 3,387.68, 5,087.16 and 2,097.36

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Solution

The fourth proportional to 3,387.68, 5,087.16 and 2,097.36 is: 3,149.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,387.68 : 5,087.16 = 2,097.36 : x
  2. Step 2: Convert to fraction form
    3,387.68/5,087.16 = 2,097.36/x
  3. Step 3: Cross multiply
    3,387.68x = 5,087.16 × 2,097.36
  4. Step 4: Simplify right side
    3,387.68x = 10,669,605.90
  5. Step 5: Solve for x
    x = 10,669,605.90/3,387.68
  6. Step 6: Final answer
    x = 3,149.53

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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.