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Finding the Fourth Proportional to 3,196.71, 4,410.24 and 2,359.42

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Solution

The fourth proportional to 3,196.71, 4,410.24 and 2,359.42 is: 3,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.71 : 4,410.24 = 2,359.42 : x
  2. Step 2: Convert to fraction form
    3,196.71/4,410.24 = 2,359.42/x
  3. Step 3: Cross multiply
    3,196.71x = 4,410.24 × 2,359.42
  4. Step 4: Simplify right side
    3,196.71x = 10,405,608.46
  5. Step 5: Solve for x
    x = 10,405,608.46/3,196.71
  6. Step 6: Final answer
    x = 3,255.10

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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.