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Finding the Fourth Proportional to 5,902.92, 8,847.90 and 2,004.39

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Solution

The fourth proportional to 5,902.92, 8,847.90 and 2,004.39 is: 3,004.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,902.92 : 8,847.90 = 2,004.39 : x
  2. Step 2: Convert to fraction form
    5,902.92/8,847.90 = 2,004.39/x
  3. Step 3: Cross multiply
    5,902.92x = 8,847.90 × 2,004.39
  4. Step 4: Simplify right side
    5,902.92x = 17,734,642.28
  5. Step 5: Solve for x
    x = 17,734,642.28/5,902.92
  6. Step 6: Final answer
    x = 3,004.38

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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.