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Finding the Fourth Proportional to 6,081.92, 8,392.88 and 3,429.30

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Solution

The fourth proportional to 6,081.92, 8,392.88 and 3,429.30 is: 4,732.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,081.92 : 8,392.88 = 3,429.30 : x
  2. Step 2: Convert to fraction form
    6,081.92/8,392.88 = 3,429.30/x
  3. Step 3: Cross multiply
    6,081.92x = 8,392.88 × 3,429.30
  4. Step 4: Simplify right side
    6,081.92x = 28,781,686.24
  5. Step 5: Solve for x
    x = 28,781,686.24/6,081.92
  6. Step 6: Final answer
    x = 4,732.34

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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.