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Finding the Fourth Proportional to 3,362.33, 5,042.47 and 1,606.41

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Solution

The fourth proportional to 3,362.33, 5,042.47 and 1,606.41 is: 2,409.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,362.33 : 5,042.47 = 1,606.41 : x
  2. Step 2: Convert to fraction form
    3,362.33/5,042.47 = 1,606.41/x
  3. Step 3: Cross multiply
    3,362.33x = 5,042.47 × 1,606.41
  4. Step 4: Simplify right side
    3,362.33x = 8,100,249.02
  5. Step 5: Solve for x
    x = 8,100,249.02/3,362.33
  6. Step 6: Final answer
    x = 2,409.12

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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.