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Finding the Fourth Proportional to 3,871.99, 5,812.08 and 2,412.15

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Solution

The fourth proportional to 3,871.99, 5,812.08 and 2,412.15 is: 3,620.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,871.99 : 5,812.08 = 2,412.15 : x
  2. Step 2: Convert to fraction form
    3,871.99/5,812.08 = 2,412.15/x
  3. Step 3: Cross multiply
    3,871.99x = 5,812.08 × 2,412.15
  4. Step 4: Simplify right side
    3,871.99x = 14,019,608.77
  5. Step 5: Solve for x
    x = 14,019,608.77/3,871.99
  6. Step 6: Final answer
    x = 3,620.78

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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.