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Finding the Fourth Proportional to 5,304.96, 7,324.02 and 3,734.64

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Solution

The fourth proportional to 5,304.96, 7,324.02 and 3,734.64 is: 5,156.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,304.96 : 7,324.02 = 3,734.64 : x
  2. Step 2: Convert to fraction form
    5,304.96/7,324.02 = 3,734.64/x
  3. Step 3: Cross multiply
    5,304.96x = 7,324.02 × 3,734.64
  4. Step 4: Simplify right side
    5,304.96x = 27,352,578.05
  5. Step 5: Solve for x
    x = 27,352,578.05/5,304.96
  6. Step 6: Final answer
    x = 5,156.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.