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Finding the Fourth Proportional to 5,837.57, 8,753.75 and 2,137.22

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Solution

The fourth proportional to 5,837.57, 8,753.75 and 2,137.22 is: 3,204.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,837.57 : 8,753.75 = 2,137.22 : x
  2. Step 2: Convert to fraction form
    5,837.57/8,753.75 = 2,137.22/x
  3. Step 3: Cross multiply
    5,837.57x = 8,753.75 × 2,137.22
  4. Step 4: Simplify right side
    5,837.57x = 18,708,689.58
  5. Step 5: Solve for x
    x = 18,708,689.58/5,837.57
  6. Step 6: Final answer
    x = 3,204.88

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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.