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Finding the Fourth Proportional to 3,334.56, 4,996.97 and 2,412.07

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Solution

The fourth proportional to 3,334.56, 4,996.97 and 2,412.07 is: 3,614.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,334.56 : 4,996.97 = 2,412.07 : x
  2. Step 2: Convert to fraction form
    3,334.56/4,996.97 = 2,412.07/x
  3. Step 3: Cross multiply
    3,334.56x = 4,996.97 × 2,412.07
  4. Step 4: Simplify right side
    3,334.56x = 12,053,041.43
  5. Step 5: Solve for x
    x = 12,053,041.43/3,334.56
  6. Step 6: Final answer
    x = 3,614.58

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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.