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Finding the Fourth Proportional to 5,335.83, 8,003.82 and 2,049.12

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Solution

The fourth proportional to 5,335.83, 8,003.82 and 2,049.12 is: 3,073.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.83 : 8,003.82 = 2,049.12 : x
  2. Step 2: Convert to fraction form
    5,335.83/8,003.82 = 2,049.12/x
  3. Step 3: Cross multiply
    5,335.83x = 8,003.82 × 2,049.12
  4. Step 4: Simplify right side
    5,335.83x = 16,400,787.64
  5. Step 5: Solve for x
    x = 16,400,787.64/5,335.83
  6. Step 6: Final answer
    x = 3,073.71

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.