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Finding the Fourth Proportional to 3,827.16, 5,733.54 and 3,231

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Solution

The fourth proportional to 3,827.16, 5,733.54 and 3,231 is: 4,840.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,827.16 : 5,733.54 = 3,231 : x
  2. Step 2: Convert to fraction form
    3,827.16/5,733.54 = 3,231/x
  3. Step 3: Cross multiply
    3,827.16x = 5,733.54 × 3,231
  4. Step 4: Simplify right side
    3,827.16x = 18,525,067.74
  5. Step 5: Solve for x
    x = 18,525,067.74/3,827.16
  6. Step 6: Final answer
    x = 4,840.42

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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.