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Finding the Fourth Proportional to 3,138.67, 4,709.55 and 2,220.13

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Solution

The fourth proportional to 3,138.67, 4,709.55 and 2,220.13 is: 3,331.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,138.67 : 4,709.55 = 2,220.13 : x
  2. Step 2: Convert to fraction form
    3,138.67/4,709.55 = 2,220.13/x
  3. Step 3: Cross multiply
    3,138.67x = 4,709.55 × 2,220.13
  4. Step 4: Simplify right side
    3,138.67x = 10,455,813.24
  5. Step 5: Solve for x
    x = 10,455,813.24/3,138.67
  6. Step 6: Final answer
    x = 3,331.29

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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.