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Finding the Fourth Proportional to 3,470.97, 4,789.86 and 1,978.86

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Solution

The fourth proportional to 3,470.97, 4,789.86 and 1,978.86 is: 2,730.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.97 : 4,789.86 = 1,978.86 : x
  2. Step 2: Convert to fraction form
    3,470.97/4,789.86 = 1,978.86/x
  3. Step 3: Cross multiply
    3,470.97x = 4,789.86 × 1,978.86
  4. Step 4: Simplify right side
    3,470.97x = 9,478,462.36
  5. Step 5: Solve for x
    x = 9,478,462.36/3,470.97
  6. Step 6: Final answer
    x = 2,730.78

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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.