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Finding the Fourth Proportional to 3,246.62, 4,866.55 and 1,578.27

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Solution

The fourth proportional to 3,246.62, 4,866.55 and 1,578.27 is: 2,365.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,246.62 : 4,866.55 = 1,578.27 : x
  2. Step 2: Convert to fraction form
    3,246.62/4,866.55 = 1,578.27/x
  3. Step 3: Cross multiply
    3,246.62x = 4,866.55 × 1,578.27
  4. Step 4: Simplify right side
    3,246.62x = 7,680,729.87
  5. Step 5: Solve for x
    x = 7,680,729.87/3,246.62
  6. Step 6: Final answer
    x = 2,365.76

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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.