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Finding the Fourth Proportional to 3,901.50, 5,844.06 and 1,949.58

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Solution

The fourth proportional to 3,901.50, 5,844.06 and 1,949.58 is: 2,920.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.50 : 5,844.06 = 1,949.58 : x
  2. Step 2: Convert to fraction form
    3,901.50/5,844.06 = 1,949.58/x
  3. Step 3: Cross multiply
    3,901.50x = 5,844.06 × 1,949.58
  4. Step 4: Simplify right side
    3,901.50x = 11,393,462.49
  5. Step 5: Solve for x
    x = 11,393,462.49/3,901.50
  6. Step 6: Final answer
    x = 2,920.28

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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.