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Finding the Fourth Proportional to 5,862.44, 8,793.12 and 2,942.66

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Solution

The fourth proportional to 5,862.44, 8,793.12 and 2,942.66 is: 4,413.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,862.44 : 8,793.12 = 2,942.66 : x
  2. Step 2: Convert to fraction form
    5,862.44/8,793.12 = 2,942.66/x
  3. Step 3: Cross multiply
    5,862.44x = 8,793.12 × 2,942.66
  4. Step 4: Simplify right side
    5,862.44x = 25,875,162.50
  5. Step 5: Solve for x
    x = 25,875,162.50/5,862.44
  6. Step 6: Final answer
    x = 4,413.72

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Why These Related Problems?

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