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Finding the Fourth Proportional to 4,642.92, 6,965.41 and 2,304.20

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Solution

The fourth proportional to 4,642.92, 6,965.41 and 2,304.20 is: 3,456.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,642.92 : 6,965.41 = 2,304.20 : x
  2. Step 2: Convert to fraction form
    4,642.92/6,965.41 = 2,304.20/x
  3. Step 3: Cross multiply
    4,642.92x = 6,965.41 × 2,304.20
  4. Step 4: Simplify right side
    4,642.92x = 16,049,697.72
  5. Step 5: Solve for x
    x = 16,049,697.72/4,642.92
  6. Step 6: Final answer
    x = 3,456.81

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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.