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Finding the Fourth Proportional to 5,816.52, 8,728.16 and 2,306.84

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Solution

The fourth proportional to 5,816.52, 8,728.16 and 2,306.84 is: 3,461.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,816.52 : 8,728.16 = 2,306.84 : x
  2. Step 2: Convert to fraction form
    5,816.52/8,728.16 = 2,306.84/x
  3. Step 3: Cross multiply
    5,816.52x = 8,728.16 × 2,306.84
  4. Step 4: Simplify right side
    5,816.52x = 20,134,413.44
  5. Step 5: Solve for x
    x = 20,134,413.44/5,816.52
  6. Step 6: Final answer
    x = 3,461.59

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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.