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Finding the Fourth Proportional to 5,829.28, 8,047.38 and 3,950.79

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Solution

The fourth proportional to 5,829.28, 8,047.38 and 3,950.79 is: 5,454.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,829.28 : 8,047.38 = 3,950.79 : x
  2. Step 2: Convert to fraction form
    5,829.28/8,047.38 = 3,950.79/x
  3. Step 3: Cross multiply
    5,829.28x = 8,047.38 × 3,950.79
  4. Step 4: Simplify right side
    5,829.28x = 31,793,508.43
  5. Step 5: Solve for x
    x = 31,793,508.43/5,829.28
  6. Step 6: Final answer
    x = 5,454.11

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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.