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Finding the Fourth Proportional to 3,901.14, 5,844.68 and 2,144.24

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Solution

The fourth proportional to 3,901.14, 5,844.68 and 2,144.24 is: 3,212.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,901.14 : 5,844.68 = 2,144.24 : x
  2. Step 2: Convert to fraction form
    3,901.14/5,844.68 = 2,144.24/x
  3. Step 3: Cross multiply
    3,901.14x = 5,844.68 × 2,144.24
  4. Step 4: Simplify right side
    3,901.14x = 12,532,396.64
  5. Step 5: Solve for x
    x = 12,532,396.64/3,901.14
  6. Step 6: Final answer
    x = 3,212.50

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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.