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Finding the Fourth Proportional to 3,812.00, 5,257.51 and 2,412.32

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Solution

The fourth proportional to 3,812.00, 5,257.51 and 2,412.32 is: 3,327.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.00 : 5,257.51 = 2,412.32 : x
  2. Step 2: Convert to fraction form
    3,812.00/5,257.51 = 2,412.32/x
  3. Step 3: Cross multiply
    3,812.00x = 5,257.51 × 2,412.32
  4. Step 4: Simplify right side
    3,812.00x = 12,682,764.20
  5. Step 5: Solve for x
    x = 12,682,764.20/3,812.00
  6. Step 6: Final answer
    x = 3,327.07

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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.