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Finding the Fourth Proportional to 3,471.90, 4,796.43 and 2,279.70

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Solution

The fourth proportional to 3,471.90, 4,796.43 and 2,279.70 is: 3,149.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,471.90 : 4,796.43 = 2,279.70 : x
  2. Step 2: Convert to fraction form
    3,471.90/4,796.43 = 2,279.70/x
  3. Step 3: Cross multiply
    3,471.90x = 4,796.43 × 2,279.70
  4. Step 4: Simplify right side
    3,471.90x = 10,934,421.47
  5. Step 5: Solve for x
    x = 10,934,421.47/3,471.90
  6. Step 6: Final answer
    x = 3,149.41

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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.