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Finding the Fourth Proportional to 6,451.38, 8,904.78 and 4,213.58

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Solution

The fourth proportional to 6,451.38, 8,904.78 and 4,213.58 is: 5,815.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,451.38 : 8,904.78 = 4,213.58 : x
  2. Step 2: Convert to fraction form
    6,451.38/8,904.78 = 4,213.58/x
  3. Step 3: Cross multiply
    6,451.38x = 8,904.78 × 4,213.58
  4. Step 4: Simplify right side
    6,451.38x = 37,521,002.91
  5. Step 5: Solve for x
    x = 37,521,002.91/6,451.38
  6. Step 6: Final answer
    x = 5,815.97

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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.