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Finding the Fourth Proportional to 3,833.28, 5,744.44 and 2,186.42

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Solution

The fourth proportional to 3,833.28, 5,744.44 and 2,186.42 is: 3,276.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,833.28 : 5,744.44 = 2,186.42 : x
  2. Step 2: Convert to fraction form
    3,833.28/5,744.44 = 2,186.42/x
  3. Step 3: Cross multiply
    3,833.28x = 5,744.44 × 2,186.42
  4. Step 4: Simplify right side
    3,833.28x = 12,559,758.50
  5. Step 5: Solve for x
    x = 12,559,758.50/3,833.28
  6. Step 6: Final answer
    x = 3,276.50

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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.