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Finding the Fourth Proportional to 5,387.22, 8,083.96 and 2,267

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Solution

The fourth proportional to 5,387.22, 8,083.96 and 2,267 is: 3,401.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,387.22 : 8,083.96 = 2,267 : x
  2. Step 2: Convert to fraction form
    5,387.22/8,083.96 = 2,267/x
  3. Step 3: Cross multiply
    5,387.22x = 8,083.96 × 2,267
  4. Step 4: Simplify right side
    5,387.22x = 18,326,337.32
  5. Step 5: Solve for x
    x = 18,326,337.32/5,387.22
  6. Step 6: Final answer
    x = 3,401.82

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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.