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Finding the Fourth Proportional to 5,983.26, 8,974.92 and 2,088

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Solution

The fourth proportional to 5,983.26, 8,974.92 and 2,088 is: 3,132.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,983.26 : 8,974.92 = 2,088 : x
  2. Step 2: Convert to fraction form
    5,983.26/8,974.92 = 2,088/x
  3. Step 3: Cross multiply
    5,983.26x = 8,974.92 × 2,088
  4. Step 4: Simplify right side
    5,983.26x = 18,739,632.96
  5. Step 5: Solve for x
    x = 18,739,632.96/5,983.26
  6. Step 6: Final answer
    x = 3,132.01

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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.