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Finding the Fourth Proportional to 3,812.96, 5,261.65 and 2,219.49

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Solution

The fourth proportional to 3,812.96, 5,261.65 and 2,219.49 is: 3,062.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.96 : 5,261.65 = 2,219.49 : x
  2. Step 2: Convert to fraction form
    3,812.96/5,261.65 = 2,219.49/x
  3. Step 3: Cross multiply
    3,812.96x = 5,261.65 × 2,219.49
  4. Step 4: Simplify right side
    3,812.96x = 11,678,174.01
  5. Step 5: Solve for x
    x = 11,678,174.01/3,812.96
  6. Step 6: Final answer
    x = 3,062.76

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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.