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Finding the Fourth Proportional to 5,441.12, 8,162 and 1,545.84

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Solution

The fourth proportional to 5,441.12, 8,162 and 1,545.84 is: 2,318.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.12 : 8,162 = 1,545.84 : x
  2. Step 2: Convert to fraction form
    5,441.12/8,162 = 1,545.84/x
  3. Step 3: Cross multiply
    5,441.12x = 8,162 × 1,545.84
  4. Step 4: Simplify right side
    5,441.12x = 12,617,146.08
  5. Step 5: Solve for x
    x = 12,617,146.08/5,441.12
  6. Step 6: Final answer
    x = 2,318.85

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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.