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Finding the Fourth Proportional to 3,871.38, 5,807.97 and 1,274.34

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Solution

The fourth proportional to 3,871.38, 5,807.97 and 1,274.34 is: 1,911.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.38 : 5,807.97 = 1,274.34 : x
  2. Step 2: Convert to fraction form
    3,871.38/5,807.97 = 1,274.34/x
  3. Step 3: Cross multiply
    3,871.38x = 5,807.97 × 1,274.34
  4. Step 4: Simplify right side
    3,871.38x = 7,401,328.49
  5. Step 5: Solve for x
    x = 7,401,328.49/3,871.38
  6. Step 6: Final answer
    x = 1,911.81

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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.