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Finding the Fourth Proportional to 4,101.98, 5,661.07 and 3,353.83

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Solution

The fourth proportional to 4,101.98, 5,661.07 and 3,353.83 is: 4,628.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,101.98 : 5,661.07 = 3,353.83 : x
  2. Step 2: Convert to fraction form
    4,101.98/5,661.07 = 3,353.83/x
  3. Step 3: Cross multiply
    4,101.98x = 5,661.07 × 3,353.83
  4. Step 4: Simplify right side
    4,101.98x = 18,986,243.86
  5. Step 5: Solve for x
    x = 18,986,243.86/4,101.98
  6. Step 6: Final answer
    x = 4,628.56

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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.