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Finding the Fourth Proportional to 5,691.41, 8,537.97 and 1,795.76

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Solution

The fourth proportional to 5,691.41, 8,537.97 and 1,795.76 is: 2,693.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,691.41 : 8,537.97 = 1,795.76 : x
  2. Step 2: Convert to fraction form
    5,691.41/8,537.97 = 1,795.76/x
  3. Step 3: Cross multiply
    5,691.41x = 8,537.97 × 1,795.76
  4. Step 4: Simplify right side
    5,691.41x = 15,332,145.01
  5. Step 5: Solve for x
    x = 15,332,145.01/5,691.41
  6. Step 6: Final answer
    x = 2,693.91

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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.