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Finding the Fourth Proportional to 5,481.08, 8,222.90 and 1,585.38

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Solution

The fourth proportional to 5,481.08, 8,222.90 and 1,585.38 is: 2,378.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,481.08 : 8,222.90 = 1,585.38 : x
  2. Step 2: Convert to fraction form
    5,481.08/8,222.90 = 1,585.38/x
  3. Step 3: Cross multiply
    5,481.08x = 8,222.90 × 1,585.38
  4. Step 4: Simplify right side
    5,481.08x = 13,036,413.28
  5. Step 5: Solve for x
    x = 13,036,413.28/5,481.08
  6. Step 6: Final answer
    x = 2,378.44

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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.