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Finding the Fourth Proportional to 3,797.96, 5,239.40 and 2,471.18

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Solution

The fourth proportional to 3,797.96, 5,239.40 and 2,471.18 is: 3,409.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,797.96 : 5,239.40 = 2,471.18 : x
  2. Step 2: Convert to fraction form
    3,797.96/5,239.40 = 2,471.18/x
  3. Step 3: Cross multiply
    3,797.96x = 5,239.40 × 2,471.18
  4. Step 4: Simplify right side
    3,797.96x = 12,947,500.49
  5. Step 5: Solve for x
    x = 12,947,500.49/3,797.96
  6. Step 6: Final answer
    x = 3,409.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.