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Finding the Fourth Proportional to 5,659.39, 7,809.78 and 3,141.64

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Solution

The fourth proportional to 5,659.39, 7,809.78 and 3,141.64 is: 4,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,659.39 : 7,809.78 = 3,141.64 : x
  2. Step 2: Convert to fraction form
    5,659.39/7,809.78 = 3,141.64/x
  3. Step 3: Cross multiply
    5,659.39x = 7,809.78 × 3,141.64
  4. Step 4: Simplify right side
    5,659.39x = 24,535,517.24
  5. Step 5: Solve for x
    x = 24,535,517.24/5,659.39
  6. Step 6: Final answer
    x = 4,335.36

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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.