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Finding the Fourth Proportional to 3,827.67, 5,282.91 and 2,336.91

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Solution

The fourth proportional to 3,827.67, 5,282.91 and 2,336.91 is: 3,225.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.67 : 5,282.91 = 2,336.91 : x
  2. Step 2: Convert to fraction form
    3,827.67/5,282.91 = 2,336.91/x
  3. Step 3: Cross multiply
    3,827.67x = 5,282.91 × 2,336.91
  4. Step 4: Simplify right side
    3,827.67x = 12,345,685.21
  5. Step 5: Solve for x
    x = 12,345,685.21/3,827.67
  6. Step 6: Final answer
    x = 3,225.38

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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.