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Finding the Fourth Proportional to 3,901.01, 5,850.20 and 1,267.82

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Solution

The fourth proportional to 3,901.01, 5,850.20 and 1,267.82 is: 1,901.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.01 : 5,850.20 = 1,267.82 : x
  2. Step 2: Convert to fraction form
    3,901.01/5,850.20 = 1,267.82/x
  3. Step 3: Cross multiply
    3,901.01x = 5,850.20 × 1,267.82
  4. Step 4: Simplify right side
    3,901.01x = 7,417,000.56
  5. Step 5: Solve for x
    x = 7,417,000.56/3,901.01
  6. Step 6: Final answer
    x = 1,901.30

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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.