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Finding the Fourth Proportional to 5,731.34, 8,595.92 and 2,033.42

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Solution

The fourth proportional to 5,731.34, 8,595.92 and 2,033.42 is: 3,049.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,731.34 : 8,595.92 = 2,033.42 : x
  2. Step 2: Convert to fraction form
    5,731.34/8,595.92 = 2,033.42/x
  3. Step 3: Cross multiply
    5,731.34x = 8,595.92 × 2,033.42
  4. Step 4: Simplify right side
    5,731.34x = 17,479,115.65
  5. Step 5: Solve for x
    x = 17,479,115.65/5,731.34
  6. Step 6: Final answer
    x = 3,049.74

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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.