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Finding the Fourth Proportional to 5,410.68, 8,116.08 and 1,947.96

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Solution

The fourth proportional to 5,410.68, 8,116.08 and 1,947.96 is: 2,921.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,410.68 : 8,116.08 = 1,947.96 : x
  2. Step 2: Convert to fraction form
    5,410.68/8,116.08 = 1,947.96/x
  3. Step 3: Cross multiply
    5,410.68x = 8,116.08 × 1,947.96
  4. Step 4: Simplify right side
    5,410.68x = 15,809,799.20
  5. Step 5: Solve for x
    x = 15,809,799.20/5,410.68
  6. Step 6: Final answer
    x = 2,921.96

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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.