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Finding the Fourth Proportional to 3,481.98, 5,223.65 and 3,133.42

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Solution

The fourth proportional to 3,481.98, 5,223.65 and 3,133.42 is: 4,700.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,481.98 : 5,223.65 = 3,133.42 : x
  2. Step 2: Convert to fraction form
    3,481.98/5,223.65 = 3,133.42/x
  3. Step 3: Cross multiply
    3,481.98x = 5,223.65 × 3,133.42
  4. Step 4: Simplify right side
    3,481.98x = 16,367,860.66
  5. Step 5: Solve for x
    x = 16,367,860.66/3,481.98
  6. Step 6: Final answer
    x = 4,700.74

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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.