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Finding the Fourth Proportional to 5,243.28, 7,864.92 and 1,952.52

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Solution

The fourth proportional to 5,243.28, 7,864.92 and 1,952.52 is: 2,928.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.28 : 7,864.92 = 1,952.52 : x
  2. Step 2: Convert to fraction form
    5,243.28/7,864.92 = 1,952.52/x
  3. Step 3: Cross multiply
    5,243.28x = 7,864.92 × 1,952.52
  4. Step 4: Simplify right side
    5,243.28x = 15,356,413.60
  5. Step 5: Solve for x
    x = 15,356,413.60/5,243.28
  6. Step 6: Final answer
    x = 2,928.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.