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Finding the Fourth Proportional to 3,409.12, 5,112.48 and 1,908

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Solution

The fourth proportional to 3,409.12, 5,112.48 and 1,908 is: 2,861.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,409.12 : 5,112.48 = 1,908 : x
  2. Step 2: Convert to fraction form
    3,409.12/5,112.48 = 1,908/x
  3. Step 3: Cross multiply
    3,409.12x = 5,112.48 × 1,908
  4. Step 4: Simplify right side
    3,409.12x = 9,754,611.84
  5. Step 5: Solve for x
    x = 9,754,611.84/3,409.12
  6. Step 6: Final answer
    x = 2,861.33

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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.