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Finding the Fourth Proportional to 3,722.44, 5,137.03 and 2,044

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Solution

The fourth proportional to 3,722.44, 5,137.03 and 2,044 is: 2,820.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.44 : 5,137.03 = 2,044 : x
  2. Step 2: Convert to fraction form
    3,722.44/5,137.03 = 2,044/x
  3. Step 3: Cross multiply
    3,722.44x = 5,137.03 × 2,044
  4. Step 4: Simplify right side
    3,722.44x = 10,500,079.10
  5. Step 5: Solve for x
    x = 10,500,079.10/3,722.44
  6. Step 6: Final answer
    x = 2,820.75

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.