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Finding the Fourth Proportional to 3,479.25, 5,219.11 and 1,138.63

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Solution

The fourth proportional to 3,479.25, 5,219.11 and 1,138.63 is: 1,708.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,479.25 : 5,219.11 = 1,138.63 : x
  2. Step 2: Convert to fraction form
    3,479.25/5,219.11 = 1,138.63/x
  3. Step 3: Cross multiply
    3,479.25x = 5,219.11 × 1,138.63
  4. Step 4: Simplify right side
    3,479.25x = 5,942,644.86
  5. Step 5: Solve for x
    x = 5,942,644.86/3,479.25
  6. Step 6: Final answer
    x = 1,708.02

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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.