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Finding the Fourth Proportional to 5,793.88, 7,995.48 and 3,141.28

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Solution

The fourth proportional to 5,793.88, 7,995.48 and 3,141.28 is: 4,334.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.88 : 7,995.48 = 3,141.28 : x
  2. Step 2: Convert to fraction form
    5,793.88/7,995.48 = 3,141.28/x
  3. Step 3: Cross multiply
    5,793.88x = 7,995.48 × 3,141.28
  4. Step 4: Simplify right side
    5,793.88x = 25,116,041.41
  5. Step 5: Solve for x
    x = 25,116,041.41/5,793.88
  6. Step 6: Final answer
    x = 4,334.93

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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.