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Finding the Fourth Proportional to 5,243.38, 7,235.86 and 2,885.60

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Solution

The fourth proportional to 5,243.38, 7,235.86 and 2,885.60 is: 3,982.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.38 : 7,235.86 = 2,885.60 : x
  2. Step 2: Convert to fraction form
    5,243.38/7,235.86 = 2,885.60/x
  3. Step 3: Cross multiply
    5,243.38x = 7,235.86 × 2,885.60
  4. Step 4: Simplify right side
    5,243.38x = 20,879,797.62
  5. Step 5: Solve for x
    x = 20,879,797.62/5,243.38
  6. Step 6: Final answer
    x = 3,982.13

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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.