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Finding the Fourth Proportional to 5,456.60, 8,186.40 and 1,947.40

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Solution

The fourth proportional to 5,456.60, 8,186.40 and 1,947.40 is: 2,921.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,456.60 : 8,186.40 = 1,947.40 : x
  2. Step 2: Convert to fraction form
    5,456.60/8,186.40 = 1,947.40/x
  3. Step 3: Cross multiply
    5,456.60x = 8,186.40 × 1,947.40
  4. Step 4: Simplify right side
    5,456.60x = 15,942,195.36
  5. Step 5: Solve for x
    x = 15,942,195.36/5,456.60
  6. Step 6: Final answer
    x = 2,921.64

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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.