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Finding the Fourth Proportional to 5,062.58, 6,986.38 and 2,824.42

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Solution

The fourth proportional to 5,062.58, 6,986.38 and 2,824.42 is: 3,897.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.58 : 6,986.38 = 2,824.42 : x
  2. Step 2: Convert to fraction form
    5,062.58/6,986.38 = 2,824.42/x
  3. Step 3: Cross multiply
    5,062.58x = 6,986.38 × 2,824.42
  4. Step 4: Simplify right side
    5,062.58x = 19,732,471.40
  5. Step 5: Solve for x
    x = 19,732,471.40/5,062.58
  6. Step 6: Final answer
    x = 3,897.71

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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.