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Finding the Fourth Proportional to 5,088.28, 7,633.86 and 2,167

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Solution

The fourth proportional to 5,088.28, 7,633.86 and 2,167 is: 3,251.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,088.28 : 7,633.86 = 2,167 : x
  2. Step 2: Convert to fraction form
    5,088.28/7,633.86 = 2,167/x
  3. Step 3: Cross multiply
    5,088.28x = 7,633.86 × 2,167
  4. Step 4: Simplify right side
    5,088.28x = 16,542,574.62
  5. Step 5: Solve for x
    x = 16,542,574.62/5,088.28
  6. Step 6: Final answer
    x = 3,251.11

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.