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Finding the Fourth Proportional to 5,059.17, 6,982.38 and 2,963.34

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Solution

The fourth proportional to 5,059.17, 6,982.38 and 2,963.34 is: 4,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,059.17 : 6,982.38 = 2,963.34 : x
  2. Step 2: Convert to fraction form
    5,059.17/6,982.38 = 2,963.34/x
  3. Step 3: Cross multiply
    5,059.17x = 6,982.38 × 2,963.34
  4. Step 4: Simplify right side
    5,059.17x = 20,691,165.95
  5. Step 5: Solve for x
    x = 20,691,165.95/5,059.17
  6. Step 6: Final answer
    x = 4,089.83

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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.