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Finding the Fourth Proportional to 3,811.80, 5,261.22 and 2,219.76

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Solution

The fourth proportional to 3,811.80, 5,261.22 and 2,219.76 is: 3,063.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.80 : 5,261.22 = 2,219.76 : x
  2. Step 2: Convert to fraction form
    3,811.80/5,261.22 = 2,219.76/x
  3. Step 3: Cross multiply
    3,811.80x = 5,261.22 × 2,219.76
  4. Step 4: Simplify right side
    3,811.80x = 11,678,645.71
  5. Step 5: Solve for x
    x = 11,678,645.71/3,811.80
  6. Step 6: Final answer
    x = 3,063.81

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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.