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Finding the Fourth Proportional to 3,138.21, 4,331.07 and 1,811.88

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Solution

The fourth proportional to 3,138.21, 4,331.07 and 1,811.88 is: 2,500.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.21 : 4,331.07 = 1,811.88 : x
  2. Step 2: Convert to fraction form
    3,138.21/4,331.07 = 1,811.88/x
  3. Step 3: Cross multiply
    3,138.21x = 4,331.07 × 1,811.88
  4. Step 4: Simplify right side
    3,138.21x = 7,847,379.11
  5. Step 5: Solve for x
    x = 7,847,379.11/3,138.21
  6. Step 6: Final answer
    x = 2,500.59

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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.