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Finding the Fourth Proportional to 5,139.80, 7,713.30 and 3,295.40

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Solution

The fourth proportional to 5,139.80, 7,713.30 and 3,295.40 is: 4,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.80 : 7,713.30 = 3,295.40 : x
  2. Step 2: Convert to fraction form
    5,139.80/7,713.30 = 3,295.40/x
  3. Step 3: Cross multiply
    5,139.80x = 7,713.30 × 3,295.40
  4. Step 4: Simplify right side
    5,139.80x = 25,418,408.82
  5. Step 5: Solve for x
    x = 25,418,408.82/5,139.80
  6. Step 6: Final answer
    x = 4,945.41

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.