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Finding the Fourth Proportional to 3,763.52, 5,193.83 and 2,271.41

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Solution

The fourth proportional to 3,763.52, 5,193.83 and 2,271.41 is: 3,134.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.52 : 5,193.83 = 2,271.41 : x
  2. Step 2: Convert to fraction form
    3,763.52/5,193.83 = 2,271.41/x
  3. Step 3: Cross multiply
    3,763.52x = 5,193.83 × 2,271.41
  4. Step 4: Simplify right side
    3,763.52x = 11,797,297.11
  5. Step 5: Solve for x
    x = 11,797,297.11/3,763.52
  6. Step 6: Final answer
    x = 3,134.65

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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.