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Finding the Fourth Proportional to 5,902.54, 8,850.48 and 2,004.82

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Solution

The fourth proportional to 5,902.54, 8,850.48 and 2,004.82 is: 3,006.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.54 : 8,850.48 = 2,004.82 : x
  2. Step 2: Convert to fraction form
    5,902.54/8,850.48 = 2,004.82/x
  3. Step 3: Cross multiply
    5,902.54x = 8,850.48 × 2,004.82
  4. Step 4: Simplify right side
    5,902.54x = 17,743,619.31
  5. Step 5: Solve for x
    x = 17,743,619.31/5,902.54
  6. Step 6: Final answer
    x = 3,006.10

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.