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Finding the Fourth Proportional to 5,902.86, 8,144.91 and 3,545.05

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Solution

The fourth proportional to 5,902.86, 8,144.91 and 3,545.05 is: 4,891.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.86 : 8,144.91 = 3,545.05 : x
  2. Step 2: Convert to fraction form
    5,902.86/8,144.91 = 3,545.05/x
  3. Step 3: Cross multiply
    5,902.86x = 8,144.91 × 3,545.05
  4. Step 4: Simplify right side
    5,902.86x = 28,874,113.20
  5. Step 5: Solve for x
    x = 28,874,113.20/5,902.86
  6. Step 6: Final answer
    x = 4,891.55

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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.