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Finding the Fourth Proportional to 4,074.46, 5,622.78 and 2,211.46

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Solution

The fourth proportional to 4,074.46, 5,622.78 and 2,211.46 is: 3,051.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,074.46 : 5,622.78 = 2,211.46 : x
  2. Step 2: Convert to fraction form
    4,074.46/5,622.78 = 2,211.46/x
  3. Step 3: Cross multiply
    4,074.46x = 5,622.78 × 2,211.46
  4. Step 4: Simplify right side
    4,074.46x = 12,434,553.06
  5. Step 5: Solve for x
    x = 12,434,553.06/4,074.46
  6. Step 6: Final answer
    x = 3,051.83

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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.