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Finding the Fourth Proportional to 5,982.27, 8,970.02 and 2,863.02

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Solution

The fourth proportional to 5,982.27, 8,970.02 and 2,863.02 is: 4,292.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,982.27 : 8,970.02 = 2,863.02 : x
  2. Step 2: Convert to fraction form
    5,982.27/8,970.02 = 2,863.02/x
  3. Step 3: Cross multiply
    5,982.27x = 8,970.02 × 2,863.02
  4. Step 4: Simplify right side
    5,982.27x = 25,681,346.66
  5. Step 5: Solve for x
    x = 25,681,346.66/5,982.27
  6. Step 6: Final answer
    x = 4,292.91

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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.