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Finding the Fourth Proportional to 3,494.34, 5,243.26 and 2,177.70

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Solution

The fourth proportional to 3,494.34, 5,243.26 and 2,177.70 is: 3,267.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,494.34 : 5,243.26 = 2,177.70 : x
  2. Step 2: Convert to fraction form
    3,494.34/5,243.26 = 2,177.70/x
  3. Step 3: Cross multiply
    3,494.34x = 5,243.26 × 2,177.70
  4. Step 4: Simplify right side
    3,494.34x = 11,418,247.30
  5. Step 5: Solve for x
    x = 11,418,247.30/3,494.34
  6. Step 6: Final answer
    x = 3,267.64

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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.