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Finding the Fourth Proportional to 3,642.24, 5,059.98 and 3,608.01

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Solution

The fourth proportional to 3,642.24, 5,059.98 and 3,608.01 is: 5,012.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.24 : 5,059.98 = 3,608.01 : x
  2. Step 2: Convert to fraction form
    3,642.24/5,059.98 = 3,608.01/x
  3. Step 3: Cross multiply
    3,642.24x = 5,059.98 × 3,608.01
  4. Step 4: Simplify right side
    3,642.24x = 18,256,458.44
  5. Step 5: Solve for x
    x = 18,256,458.44/3,642.24
  6. Step 6: Final answer
    x = 5,012.43

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Why These Related Problems?

These problems maintain the same ratio (1.39) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.