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Finding the Fourth Proportional to 5,764.25, 7,952.62 and 3,775.91

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Solution

The fourth proportional to 5,764.25, 7,952.62 and 3,775.91 is: 5,209.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,764.25 : 7,952.62 = 3,775.91 : x
  2. Step 2: Convert to fraction form
    5,764.25/7,952.62 = 3,775.91/x
  3. Step 3: Cross multiply
    5,764.25x = 7,952.62 × 3,775.91
  4. Step 4: Simplify right side
    5,764.25x = 30,028,377.38
  5. Step 5: Solve for x
    x = 30,028,377.38/5,764.25
  6. Step 6: Final answer
    x = 5,209.42

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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.