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Finding the Fourth Proportional to 5,711.63, 7,882.34 and 3,354.53

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Solution

The fourth proportional to 5,711.63, 7,882.34 and 3,354.53 is: 4,629.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.63 : 7,882.34 = 3,354.53 : x
  2. Step 2: Convert to fraction form
    5,711.63/7,882.34 = 3,354.53/x
  3. Step 3: Cross multiply
    5,711.63x = 7,882.34 × 3,354.53
  4. Step 4: Simplify right side
    5,711.63x = 26,441,489.82
  5. Step 5: Solve for x
    x = 26,441,489.82/5,711.63
  6. Step 6: Final answer
    x = 4,629.42

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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.