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Finding the Fourth Proportional to 4,864.92, 7,290.49 and 3,764.13

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Solution

The fourth proportional to 4,864.92, 7,290.49 and 3,764.13 is: 5,640.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,864.92 : 7,290.49 = 3,764.13 : x
  2. Step 2: Convert to fraction form
    4,864.92/7,290.49 = 3,764.13/x
  3. Step 3: Cross multiply
    4,864.92x = 7,290.49 × 3,764.13
  4. Step 4: Simplify right side
    4,864.92x = 27,442,352.12
  5. Step 5: Solve for x
    x = 27,442,352.12/4,864.92
  6. Step 6: Final answer
    x = 5,640.86

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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.