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Finding the Fourth Proportional to 3,722.61, 5,137.29 and 2,044.12

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Solution

The fourth proportional to 3,722.61, 5,137.29 and 2,044.12 is: 2,820.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,722.61 : 5,137.29 = 2,044.12 : x
  2. Step 2: Convert to fraction form
    3,722.61/5,137.29 = 2,044.12/x
  3. Step 3: Cross multiply
    3,722.61x = 5,137.29 × 2,044.12
  4. Step 4: Simplify right side
    3,722.61x = 10,501,247.07
  5. Step 5: Solve for x
    x = 10,501,247.07/3,722.61
  6. Step 6: Final answer
    x = 2,820.94

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