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Finding the Fourth Proportional to 5,361, 8,044.74 and 2,283

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Solution

The fourth proportional to 5,361, 8,044.74 and 2,283 is: 3,425.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,361 : 8,044.74 = 2,283 : x
  2. Step 2: Convert to fraction form
    5,361/8,044.74 = 2,283/x
  3. Step 3: Cross multiply
    5,361x = 8,044.74 × 2,283
  4. Step 4: Simplify right side
    5,361x = 18,366,141.42
  5. Step 5: Solve for x
    x = 18,366,141.42/5,361
  6. Step 6: Final answer
    x = 3,425.88

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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.