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Finding the Fourth Proportional to 5,370.24, 7,411.36 and 3,274.80

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Solution

The fourth proportional to 5,370.24, 7,411.36 and 3,274.80 is: 4,519.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,370.24 : 7,411.36 = 3,274.80 : x
  2. Step 2: Convert to fraction form
    5,370.24/7,411.36 = 3,274.80/x
  3. Step 3: Cross multiply
    5,370.24x = 7,411.36 × 3,274.80
  4. Step 4: Simplify right side
    5,370.24x = 24,270,721.73
  5. Step 5: Solve for x
    x = 24,270,721.73/5,370.24
  6. Step 6: Final answer
    x = 4,519.49

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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.