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Finding the Fourth Proportional to 5,333.62, 7,360.38 and 3,096.80

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Solution

The fourth proportional to 5,333.62, 7,360.38 and 3,096.80 is: 4,273.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,333.62 : 7,360.38 = 3,096.80 : x
  2. Step 2: Convert to fraction form
    5,333.62/7,360.38 = 3,096.80/x
  3. Step 3: Cross multiply
    5,333.62x = 7,360.38 × 3,096.80
  4. Step 4: Simplify right side
    5,333.62x = 22,793,643.18
  5. Step 5: Solve for x
    x = 22,793,643.18/5,333.62
  6. Step 6: Final answer
    x = 4,273.58

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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.