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Finding the Fourth Proportional to 3,679.88, 5,519.87 and 906.55

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Solution

The fourth proportional to 3,679.88, 5,519.87 and 906.55 is: 1,359.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.88 : 5,519.87 = 906.55 : x
  2. Step 2: Convert to fraction form
    3,679.88/5,519.87 = 906.55/x
  3. Step 3: Cross multiply
    3,679.88x = 5,519.87 × 906.55
  4. Step 4: Simplify right side
    3,679.88x = 5,004,038.15
  5. Step 5: Solve for x
    x = 5,004,038.15/3,679.88
  6. Step 6: Final answer
    x = 1,359.84

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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.