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Finding the Fourth Proportional to 3,816.45, 5,722.45 and 2,257.61

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Solution

The fourth proportional to 3,816.45, 5,722.45 and 2,257.61 is: 3,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,816.45 : 5,722.45 = 2,257.61 : x
  2. Step 2: Convert to fraction form
    3,816.45/5,722.45 = 2,257.61/x
  3. Step 3: Cross multiply
    3,816.45x = 5,722.45 × 2,257.61
  4. Step 4: Simplify right side
    3,816.45x = 12,919,026.09
  5. Step 5: Solve for x
    x = 12,919,026.09/3,816.45
  6. Step 6: Final answer
    x = 3,385.09

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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.