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Finding the Fourth Proportional to 3,441.76, 5,162 and 1,132.96

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Solution

The fourth proportional to 3,441.76, 5,162 and 1,132.96 is: 1,699.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,441.76 : 5,162 = 1,132.96 : x
  2. Step 2: Convert to fraction form
    3,441.76/5,162 = 1,132.96/x
  3. Step 3: Cross multiply
    3,441.76x = 5,162 × 1,132.96
  4. Step 4: Simplify right side
    3,441.76x = 5,848,339.52
  5. Step 5: Solve for x
    x = 5,848,339.52/3,441.76
  6. Step 6: Final answer
    x = 1,699.23

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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.