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Finding the Fourth Proportional to 5,078.73, 7,618.50 and 1,568.43

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Solution

The fourth proportional to 5,078.73, 7,618.50 and 1,568.43 is: 2,352.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,078.73 : 7,618.50 = 1,568.43 : x
  2. Step 2: Convert to fraction form
    5,078.73/7,618.50 = 1,568.43/x
  3. Step 3: Cross multiply
    5,078.73x = 7,618.50 × 1,568.43
  4. Step 4: Simplify right side
    5,078.73x = 11,949,083.96
  5. Step 5: Solve for x
    x = 11,949,083.96/5,078.73
  6. Step 6: Final answer
    x = 2,352.77

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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.