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Finding the Fourth Proportional to 5,645.68, 8,468.40 and 1,947.79

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Solution

The fourth proportional to 5,645.68, 8,468.40 and 1,947.79 is: 2,921.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.68 : 8,468.40 = 1,947.79 : x
  2. Step 2: Convert to fraction form
    5,645.68/8,468.40 = 1,947.79/x
  3. Step 3: Cross multiply
    5,645.68x = 8,468.40 × 1,947.79
  4. Step 4: Simplify right side
    5,645.68x = 16,494,682.73
  5. Step 5: Solve for x
    x = 16,494,682.73/5,645.68
  6. Step 6: Final answer
    x = 2,921.65

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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.