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Finding the Fourth Proportional to 5,984.26, 8,967.30 and 2,859.96

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Solution

The fourth proportional to 5,984.26, 8,967.30 and 2,859.96 is: 4,285.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.26 : 8,967.30 = 2,859.96 : x
  2. Step 2: Convert to fraction form
    5,984.26/8,967.30 = 2,859.96/x
  3. Step 3: Cross multiply
    5,984.26x = 8,967.30 × 2,859.96
  4. Step 4: Simplify right side
    5,984.26x = 25,646,119.31
  5. Step 5: Solve for x
    x = 25,646,119.31/5,984.26
  6. Step 6: Final answer
    x = 4,285.60

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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.