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Finding the Fourth Proportional to 5,778.97, 7,979.72 and 3,657.94

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Solution

The fourth proportional to 5,778.97, 7,979.72 and 3,657.94 is: 5,050.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,778.97 : 7,979.72 = 3,657.94 : x
  2. Step 2: Convert to fraction form
    5,778.97/7,979.72 = 3,657.94/x
  3. Step 3: Cross multiply
    5,778.97x = 7,979.72 × 3,657.94
  4. Step 4: Simplify right side
    5,778.97x = 29,189,298.74
  5. Step 5: Solve for x
    x = 29,189,298.74/5,778.97
  6. Step 6: Final answer
    x = 5,050.95

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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.