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Finding the Fourth Proportional to 3,274.92, 4,521.36 and 2,279.76

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Solution

The fourth proportional to 3,274.92, 4,521.36 and 2,279.76 is: 3,147.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,274.92 : 4,521.36 = 2,279.76 : x
  2. Step 2: Convert to fraction form
    3,274.92/4,521.36 = 2,279.76/x
  3. Step 3: Cross multiply
    3,274.92x = 4,521.36 × 2,279.76
  4. Step 4: Simplify right side
    3,274.92x = 10,307,615.67
  5. Step 5: Solve for x
    x = 10,307,615.67/3,274.92
  6. Step 6: Final answer
    x = 3,147.44

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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.