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Finding the Fourth Proportional to 3,812.76, 5,262.30 and 2,219.67

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Solution

The fourth proportional to 3,812.76, 5,262.30 and 2,219.67 is: 3,063.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.76 : 5,262.30 = 2,219.67 : x
  2. Step 2: Convert to fraction form
    3,812.76/5,262.30 = 2,219.67/x
  3. Step 3: Cross multiply
    3,812.76x = 5,262.30 × 2,219.67
  4. Step 4: Simplify right side
    3,812.76x = 11,680,569.44
  5. Step 5: Solve for x
    x = 11,680,569.44/3,812.76
  6. Step 6: Final answer
    x = 3,063.55

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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.