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Finding the Fourth Proportional to 5,794.22, 7,995.96 and 3,141.59

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Solution

The fourth proportional to 5,794.22, 7,995.96 and 3,141.59 is: 4,335.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,794.22 : 7,995.96 = 3,141.59 : x
  2. Step 2: Convert to fraction form
    5,794.22/7,995.96 = 3,141.59/x
  3. Step 3: Cross multiply
    5,794.22x = 7,995.96 × 3,141.59
  4. Step 4: Simplify right side
    5,794.22x = 25,119,988.00
  5. Step 5: Solve for x
    x = 25,119,988.00/5,794.22
  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.