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Finding the Fourth Proportional to 3,406.79, 5,099.22 and 2,305.08

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Solution

The fourth proportional to 3,406.79, 5,099.22 and 2,305.08 is: 3,450.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,406.79 : 5,099.22 = 2,305.08 : x
  2. Step 2: Convert to fraction form
    3,406.79/5,099.22 = 2,305.08/x
  3. Step 3: Cross multiply
    3,406.79x = 5,099.22 × 2,305.08
  4. Step 4: Simplify right side
    3,406.79x = 11,754,110.04
  5. Step 5: Solve for x
    x = 11,754,110.04/3,406.79
  6. Step 6: Final answer
    x = 3,450.21

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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.