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Finding the Fourth Proportional to 5,155.77, 7,732.11 and 2,689.25

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Solution

The fourth proportional to 5,155.77, 7,732.11 and 2,689.25 is: 4,033.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,155.77 : 7,732.11 = 2,689.25 : x
  2. Step 2: Convert to fraction form
    5,155.77/7,732.11 = 2,689.25/x
  3. Step 3: Cross multiply
    5,155.77x = 7,732.11 × 2,689.25
  4. Step 4: Simplify right side
    5,155.77x = 20,793,538.16
  5. Step 5: Solve for x
    x = 20,793,538.16/5,155.77
  6. Step 6: Final answer
    x = 4,033.06

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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.