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Finding the Fourth Proportional to 3,697.82, 5,100.30 and 2,279.64

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Solution

The fourth proportional to 3,697.82, 5,100.30 and 2,279.64 is: 3,144.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,697.82 : 5,100.30 = 2,279.64 : x
  2. Step 2: Convert to fraction form
    3,697.82/5,100.30 = 2,279.64/x
  3. Step 3: Cross multiply
    3,697.82x = 5,100.30 × 2,279.64
  4. Step 4: Simplify right side
    3,697.82x = 11,626,867.02
  5. Step 5: Solve for x
    x = 11,626,867.02/3,697.82
  6. Step 6: Final answer
    x = 3,144.25

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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.