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Finding the Fourth Proportional to 3,810.78, 5,717.97 and 1,731.42

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Solution

The fourth proportional to 3,810.78, 5,717.97 and 1,731.42 is: 2,597.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.78 : 5,717.97 = 1,731.42 : x
  2. Step 2: Convert to fraction form
    3,810.78/5,717.97 = 1,731.42/x
  3. Step 3: Cross multiply
    3,810.78x = 5,717.97 × 1,731.42
  4. Step 4: Simplify right side
    3,810.78x = 9,900,207.62
  5. Step 5: Solve for x
    x = 9,900,207.62/3,810.78
  6. Step 6: Final answer
    x = 2,597.95

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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.