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Finding the Fourth Proportional to 3,786.95, 5,226.03 and 2,294.61

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Solution

The fourth proportional to 3,786.95, 5,226.03 and 2,294.61 is: 3,166.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,786.95 : 5,226.03 = 2,294.61 : x
  2. Step 2: Convert to fraction form
    3,786.95/5,226.03 = 2,294.61/x
  3. Step 3: Cross multiply
    3,786.95x = 5,226.03 × 2,294.61
  4. Step 4: Simplify right side
    3,786.95x = 11,991,700.70
  5. Step 5: Solve for x
    x = 11,991,700.70/3,786.95
  6. Step 6: Final answer
    x = 3,166.59

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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.