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Finding the Fourth Proportional to 5,764.62, 7,951.95 and 3,898.38

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Solution

The fourth proportional to 5,764.62, 7,951.95 and 3,898.38 is: 5,377.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.62 : 7,951.95 = 3,898.38 : x
  2. Step 2: Convert to fraction form
    5,764.62/7,951.95 = 3,898.38/x
  3. Step 3: Cross multiply
    5,764.62x = 7,951.95 × 3,898.38
  4. Step 4: Simplify right side
    5,764.62x = 30,999,722.84
  5. Step 5: Solve for x
    x = 30,999,722.84/5,764.62
  6. Step 6: Final answer
    x = 5,377.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.