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Finding the Fourth Proportional to 5,335.32, 7,361.82 and 3,096.69

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Solution

The fourth proportional to 5,335.32, 7,361.82 and 3,096.69 is: 4,272.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,335.32 : 7,361.82 = 3,096.69 : x
  2. Step 2: Convert to fraction form
    5,335.32/7,361.82 = 3,096.69/x
  3. Step 3: Cross multiply
    5,335.32x = 7,361.82 × 3,096.69
  4. Step 4: Simplify right side
    5,335.32x = 22,797,274.38
  5. Step 5: Solve for x
    x = 22,797,274.38/5,335.32
  6. Step 6: Final answer
    x = 4,272.90

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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.