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Finding the Fourth Proportional to 5,732.67, 8,596.17 and 2,034.35

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Solution

The fourth proportional to 5,732.67, 8,596.17 and 2,034.35 is: 3,050.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,732.67 : 8,596.17 = 2,034.35 : x
  2. Step 2: Convert to fraction form
    5,732.67/8,596.17 = 2,034.35/x
  3. Step 3: Cross multiply
    5,732.67x = 8,596.17 × 2,034.35
  4. Step 4: Simplify right side
    5,732.67x = 17,487,575.46
  5. Step 5: Solve for x
    x = 17,487,575.46/5,732.67
  6. Step 6: Final answer
    x = 3,050.51

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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.