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Finding the Fourth Proportional to 3,838.44, 5,757.39 and 1,498.01

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Solution

The fourth proportional to 3,838.44, 5,757.39 and 1,498.01 is: 2,246.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.44 : 5,757.39 = 1,498.01 : x
  2. Step 2: Convert to fraction form
    3,838.44/5,757.39 = 1,498.01/x
  3. Step 3: Cross multiply
    3,838.44x = 5,757.39 × 1,498.01
  4. Step 4: Simplify right side
    3,838.44x = 8,624,627.79
  5. Step 5: Solve for x
    x = 8,624,627.79/3,838.44
  6. Step 6: Final answer
    x = 2,246.91

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.