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Finding the Fourth Proportional to 3,441.96, 5,162.88 and 844.89

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Solution

The fourth proportional to 3,441.96, 5,162.88 and 844.89 is: 1,267.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.96 : 5,162.88 = 844.89 : x
  2. Step 2: Convert to fraction form
    3,441.96/5,162.88 = 844.89/x
  3. Step 3: Cross multiply
    3,441.96x = 5,162.88 × 844.89
  4. Step 4: Simplify right side
    3,441.96x = 4,362,065.68
  5. Step 5: Solve for x
    x = 4,362,065.68/3,441.96
  6. Step 6: Final answer
    x = 1,267.32

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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.