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Finding the Fourth Proportional to 5,062.46, 6,986.21 and 2,824.25

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Solution

The fourth proportional to 5,062.46, 6,986.21 and 2,824.25 is: 3,897.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,062.46 : 6,986.21 = 2,824.25 : x
  2. Step 2: Convert to fraction form
    5,062.46/6,986.21 = 2,824.25/x
  3. Step 3: Cross multiply
    5,062.46x = 6,986.21 × 2,824.25
  4. Step 4: Simplify right side
    5,062.46x = 19,730,754.54
  5. Step 5: Solve for x
    x = 19,730,754.54/5,062.46
  6. Step 6: Final answer
    x = 3,897.47

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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.