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Finding the Fourth Proportional to 5,062.49, 6,986.23 and 2,824.24

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Solution

The fourth proportional to 5,062.49, 6,986.23 and 2,824.24 is: 3,897.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.49 : 6,986.23 = 2,824.24 : x
  2. Step 2: Convert to fraction form
    5,062.49/6,986.23 = 2,824.24/x
  3. Step 3: Cross multiply
    5,062.49x = 6,986.23 × 2,824.24
  4. Step 4: Simplify right side
    5,062.49x = 19,730,764.16
  5. Step 5: Solve for x
    x = 19,730,764.16/5,062.49
  6. Step 6: Final answer
    x = 3,897.44

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.