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Finding the Fourth Proportional to 4,863.92, 6,713.70 and 3,292

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Solution

The fourth proportional to 4,863.92, 6,713.70 and 3,292 is: 4,543.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,863.92 : 6,713.70 = 3,292 : x
  2. Step 2: Convert to fraction form
    4,863.92/6,713.70 = 3,292/x
  3. Step 3: Cross multiply
    4,863.92x = 6,713.70 × 3,292
  4. Step 4: Simplify right side
    4,863.92x = 22,101,500.40
  5. Step 5: Solve for x
    x = 22,101,500.40/4,863.92
  6. Step 6: Final answer
    x = 4,543.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.