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Finding the Fourth Proportional to 4,642.92, 6,956.01 and 3,079.22

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Solution

The fourth proportional to 4,642.92, 6,956.01 and 3,079.22 is: 4,613.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.92 : 6,956.01 = 3,079.22 : x
  2. Step 2: Convert to fraction form
    4,642.92/6,956.01 = 3,079.22/x
  3. Step 3: Cross multiply
    4,642.92x = 6,956.01 × 3,079.22
  4. Step 4: Simplify right side
    4,642.92x = 21,419,050.33
  5. Step 5: Solve for x
    x = 21,419,050.33/4,642.92
  6. Step 6: Final answer
    x = 4,613.27

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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.