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Finding the Fourth Proportional to 5,783.20, 7,979.70 and 3,425.80

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Solution

The fourth proportional to 5,783.20, 7,979.70 and 3,425.80 is: 4,726.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,783.20 : 7,979.70 = 3,425.80 : x
  2. Step 2: Convert to fraction form
    5,783.20/7,979.70 = 3,425.80/x
  3. Step 3: Cross multiply
    5,783.20x = 7,979.70 × 3,425.80
  4. Step 4: Simplify right side
    5,783.20x = 27,336,856.26
  5. Step 5: Solve for x
    x = 27,336,856.26/5,783.20
  6. Step 6: Final answer
    x = 4,726.94

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.