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Finding the Fourth Proportional to 3,475.85, 5,218.34 and 2,072.84

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Solution

The fourth proportional to 3,475.85, 5,218.34 and 2,072.84 is: 3,111.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.85 : 5,218.34 = 2,072.84 : x
  2. Step 2: Convert to fraction form
    3,475.85/5,218.34 = 2,072.84/x
  3. Step 3: Cross multiply
    3,475.85x = 5,218.34 × 2,072.84
  4. Step 4: Simplify right side
    3,475.85x = 10,816,747.43
  5. Step 5: Solve for x
    x = 10,816,747.43/3,475.85
  6. Step 6: Final answer
    x = 3,111.98

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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.