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Finding the Fourth Proportional to 3,872.31, 5,808.78 and 2,322.90

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Solution

The fourth proportional to 3,872.31, 5,808.78 and 2,322.90 is: 3,484.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,872.31 : 5,808.78 = 2,322.90 : x
  2. Step 2: Convert to fraction form
    3,872.31/5,808.78 = 2,322.90/x
  3. Step 3: Cross multiply
    3,872.31x = 5,808.78 × 2,322.90
  4. Step 4: Simplify right side
    3,872.31x = 13,493,215.06
  5. Step 5: Solve for x
    x = 13,493,215.06/3,872.31
  6. Step 6: Final answer
    x = 3,484.54

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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.