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Finding the Fourth Proportional to 5,441.33, 8,162.00 and 1,545.77

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Solution

The fourth proportional to 5,441.33, 8,162.00 and 1,545.77 is: 2,318.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,441.33 : 8,162.00 = 1,545.77 : x
  2. Step 2: Convert to fraction form
    5,441.33/8,162.00 = 1,545.77/x
  3. Step 3: Cross multiply
    5,441.33x = 8,162.00 × 1,545.77
  4. Step 4: Simplify right side
    5,441.33x = 12,616,526.20
  5. Step 5: Solve for x
    x = 12,616,526.20/5,441.33
  6. Step 6: Final answer
    x = 2,318.65

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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.