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Finding the Fourth Proportional to 3,519.84, 5,279.34 and 1,438.41

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Solution

The fourth proportional to 3,519.84, 5,279.34 and 1,438.41 is: 2,157.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519.84 : 5,279.34 = 1,438.41 : x
  2. Step 2: Convert to fraction form
    3,519.84/5,279.34 = 1,438.41/x
  3. Step 3: Cross multiply
    3,519.84x = 5,279.34 × 1,438.41
  4. Step 4: Simplify right side
    3,519.84x = 7,593,855.45
  5. Step 5: Solve for x
    x = 7,593,855.45/3,519.84
  6. Step 6: Final answer
    x = 2,157.44

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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.