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Finding the Fourth Proportional to 3,616.68, 5,427.91 and 1,426.95

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Solution

The fourth proportional to 3,616.68, 5,427.91 and 1,426.95 is: 2,141.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,616.68 : 5,427.91 = 1,426.95 : x
  2. Step 2: Convert to fraction form
    3,616.68/5,427.91 = 1,426.95/x
  3. Step 3: Cross multiply
    3,616.68x = 5,427.91 × 1,426.95
  4. Step 4: Simplify right side
    3,616.68x = 7,745,357.96
  5. Step 5: Solve for x
    x = 7,745,357.96/3,616.68
  6. Step 6: Final answer
    x = 2,141.56

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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.