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Finding the Fourth Proportional to 3,679.52, 5,519.30 and 1,371

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Solution

The fourth proportional to 3,679.52, 5,519.30 and 1,371 is: 2,056.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.52 : 5,519.30 = 1,371 : x
  2. Step 2: Convert to fraction form
    3,679.52/5,519.30 = 1,371/x
  3. Step 3: Cross multiply
    3,679.52x = 5,519.30 × 1,371
  4. Step 4: Simplify right side
    3,679.52x = 7,566,960.30
  5. Step 5: Solve for x
    x = 7,566,960.30/3,679.52
  6. Step 6: Final answer
    x = 2,056.51

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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.