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Finding the Fourth Proportional to 4,138.49, 5,711.09 and 2,461.18

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Solution

The fourth proportional to 4,138.49, 5,711.09 and 2,461.18 is: 3,396.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,138.49 : 5,711.09 = 2,461.18 : x
  2. Step 2: Convert to fraction form
    4,138.49/5,711.09 = 2,461.18/x
  3. Step 3: Cross multiply
    4,138.49x = 5,711.09 × 2,461.18
  4. Step 4: Simplify right side
    4,138.49x = 14,056,020.49
  5. Step 5: Solve for x
    x = 14,056,020.49/4,138.49
  6. Step 6: Final answer
    x = 3,396.42

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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.