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Finding the Fourth Proportional to 5,793.54, 7,995.11 and 3,140.95

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Solution

The fourth proportional to 5,793.54, 7,995.11 and 3,140.95 is: 4,334.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,793.54 : 7,995.11 = 3,140.95 : x
  2. Step 2: Convert to fraction form
    5,793.54/7,995.11 = 3,140.95/x
  3. Step 3: Cross multiply
    5,793.54x = 7,995.11 × 3,140.95
  4. Step 4: Simplify right side
    5,793.54x = 25,112,240.75
  5. Step 5: Solve for x
    x = 25,112,240.75/5,793.54
  6. Step 6: Final answer
    x = 4,334.52

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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.