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Finding the Fourth Proportional to 3,858, 5,324.16 and 2,287.44

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Solution

The fourth proportional to 3,858, 5,324.16 and 2,287.44 is: 3,156.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,858 : 5,324.16 = 2,287.44 : x
  2. Step 2: Convert to fraction form
    3,858/5,324.16 = 2,287.44/x
  3. Step 3: Cross multiply
    3,858x = 5,324.16 × 2,287.44
  4. Step 4: Simplify right side
    3,858x = 12,178,696.55
  5. Step 5: Solve for x
    x = 12,178,696.55/3,858
  6. Step 6: Final answer
    x = 3,156.74

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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.