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Finding the Fourth Proportional to 5,062.79, 6,982.13 and 3,174.62

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Solution

The fourth proportional to 5,062.79, 6,982.13 and 3,174.62 is: 4,378.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.79 : 6,982.13 = 3,174.62 : x
  2. Step 2: Convert to fraction form
    5,062.79/6,982.13 = 3,174.62/x
  3. Step 3: Cross multiply
    5,062.79x = 6,982.13 × 3,174.62
  4. Step 4: Simplify right side
    5,062.79x = 22,165,582.57
  5. Step 5: Solve for x
    x = 22,165,582.57/5,062.79
  6. Step 6: Final answer
    x = 4,378.13

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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.