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Finding the Fourth Proportional to 5,942.26, 8,908.99 and 3,602.78

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Solution

The fourth proportional to 5,942.26, 8,908.99 and 3,602.78 is: 5,401.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,942.26 : 8,908.99 = 3,602.78 : x
  2. Step 2: Convert to fraction form
    5,942.26/8,908.99 = 3,602.78/x
  3. Step 3: Cross multiply
    5,942.26x = 8,908.99 × 3,602.78
  4. Step 4: Simplify right side
    5,942.26x = 32,097,110.85
  5. Step 5: Solve for x
    x = 32,097,110.85/5,942.26
  6. Step 6: Final answer
    x = 5,401.50

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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.