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Finding the Fourth Proportional to 5,387.47, 8,078.34 and 2,097.25

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Solution

The fourth proportional to 5,387.47, 8,078.34 and 2,097.25 is: 3,144.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.47 : 8,078.34 = 2,097.25 : x
  2. Step 2: Convert to fraction form
    5,387.47/8,078.34 = 2,097.25/x
  3. Step 3: Cross multiply
    5,387.47x = 8,078.34 × 2,097.25
  4. Step 4: Simplify right side
    5,387.47x = 16,942,298.57
  5. Step 5: Solve for x
    x = 16,942,298.57/5,387.47
  6. Step 6: Final answer
    x = 3,144.76

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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.