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Finding the Fourth Proportional to 3,405.71, 5,099.65 and 2,232.02

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Solution

The fourth proportional to 3,405.71, 5,099.65 and 2,232.02 is: 3,342.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,405.71 : 5,099.65 = 2,232.02 : x
  2. Step 2: Convert to fraction form
    3,405.71/5,099.65 = 2,232.02/x
  3. Step 3: Cross multiply
    3,405.71x = 5,099.65 × 2,232.02
  4. Step 4: Simplify right side
    3,405.71x = 11,382,520.79
  5. Step 5: Solve for x
    x = 11,382,520.79/3,405.71
  6. Step 6: Final answer
    x = 3,342.19

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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.