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Finding the Fourth Proportional to 5,958.48, 8,924.76 and 2,874

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Solution

The fourth proportional to 5,958.48, 8,924.76 and 2,874 is: 4,304.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,958.48 : 8,924.76 = 2,874 : x
  2. Step 2: Convert to fraction form
    5,958.48/8,924.76 = 2,874/x
  3. Step 3: Cross multiply
    5,958.48x = 8,924.76 × 2,874
  4. Step 4: Simplify right side
    5,958.48x = 25,649,760.24
  5. Step 5: Solve for x
    x = 25,649,760.24/5,958.48
  6. Step 6: Final answer
    x = 4,304.75

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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.