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Finding the Fourth Proportional to 4,450.97, 6,142.22 and 2,461.61

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Solution

The fourth proportional to 4,450.97, 6,142.22 and 2,461.61 is: 3,396.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,450.97 : 6,142.22 = 2,461.61 : x
  2. Step 2: Convert to fraction form
    4,450.97/6,142.22 = 2,461.61/x
  3. Step 3: Cross multiply
    4,450.97x = 6,142.22 × 2,461.61
  4. Step 4: Simplify right side
    4,450.97x = 15,119,722.51
  5. Step 5: Solve for x
    x = 15,119,722.51/4,450.97
  6. Step 6: Final answer
    x = 3,396.95

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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.