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Finding the Fourth Proportional to 5,182.14, 7,151.31 and 2,824.14

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Solution

The fourth proportional to 5,182.14, 7,151.31 and 2,824.14 is: 3,897.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.14 : 7,151.31 = 2,824.14 : x
  2. Step 2: Convert to fraction form
    5,182.14/7,151.31 = 2,824.14/x
  3. Step 3: Cross multiply
    5,182.14x = 7,151.31 × 2,824.14
  4. Step 4: Simplify right side
    5,182.14x = 20,196,300.62
  5. Step 5: Solve for x
    x = 20,196,300.62/5,182.14
  6. Step 6: Final answer
    x = 3,897.29

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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.