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Finding the Fourth Proportional to 3,436.96, 5,152.12 and 2,267.84

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Solution

The fourth proportional to 3,436.96, 5,152.12 and 2,267.84 is: 3,399.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,436.96 : 5,152.12 = 2,267.84 : x
  2. Step 2: Convert to fraction form
    3,436.96/5,152.12 = 2,267.84/x
  3. Step 3: Cross multiply
    3,436.96x = 5,152.12 × 2,267.84
  4. Step 4: Simplify right side
    3,436.96x = 11,684,183.82
  5. Step 5: Solve for x
    x = 11,684,183.82/3,436.96
  6. Step 6: Final answer
    x = 3,399.57

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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.