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Finding the Fourth Proportional to 5,179.78, 7,148.07 and 2,822.02

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Solution

The fourth proportional to 5,179.78, 7,148.07 and 2,822.02 is: 3,894.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.78 : 7,148.07 = 2,822.02 : x
  2. Step 2: Convert to fraction form
    5,179.78/7,148.07 = 2,822.02/x
  3. Step 3: Cross multiply
    5,179.78x = 7,148.07 × 2,822.02
  4. Step 4: Simplify right side
    5,179.78x = 20,171,996.50
  5. Step 5: Solve for x
    x = 20,171,996.50/5,179.78
  6. Step 6: Final answer
    x = 3,894.37

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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.