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Finding the Fourth Proportional to 3,902.58, 5,388.12 and 2,412.69

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Solution

The fourth proportional to 3,902.58, 5,388.12 and 2,412.69 is: 3,331.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.58 : 5,388.12 = 2,412.69 : x
  2. Step 2: Convert to fraction form
    3,902.58/5,388.12 = 2,412.69/x
  3. Step 3: Cross multiply
    3,902.58x = 5,388.12 × 2,412.69
  4. Step 4: Simplify right side
    3,902.58x = 12,999,843.04
  5. Step 5: Solve for x
    x = 12,999,843.04/3,902.58
  6. Step 6: Final answer
    x = 3,331.09

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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.