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Finding the Fourth Proportional to 5,789.28, 7,980.85 and 3,796.38

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Solution

The fourth proportional to 5,789.28, 7,980.85 and 3,796.38 is: 5,233.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,789.28 : 7,980.85 = 3,796.38 : x
  2. Step 2: Convert to fraction form
    5,789.28/7,980.85 = 3,796.38/x
  3. Step 3: Cross multiply
    5,789.28x = 7,980.85 × 3,796.38
  4. Step 4: Simplify right side
    5,789.28x = 30,298,339.32
  5. Step 5: Solve for x
    x = 30,298,339.32/5,789.28
  6. Step 6: Final answer
    x = 5,233.52

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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.