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Finding the Fourth Proportional to 3,823.01, 5,276 and 2,144.39

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Solution

The fourth proportional to 3,823.01, 5,276 and 2,144.39 is: 2,959.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,823.01 : 5,276 = 2,144.39 : x
  2. Step 2: Convert to fraction form
    3,823.01/5,276 = 2,144.39/x
  3. Step 3: Cross multiply
    3,823.01x = 5,276 × 2,144.39
  4. Step 4: Simplify right side
    3,823.01x = 11,313,801.64
  5. Step 5: Solve for x
    x = 11,313,801.64/3,823.01
  6. Step 6: Final answer
    x = 2,959.40

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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.