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Finding the Fourth Proportional to 5,407, 8,100.01 and 3,552.49

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Solution

The fourth proportional to 5,407, 8,100.01 and 3,552.49 is: 5,321.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,407 : 8,100.01 = 3,552.49 : x
  2. Step 2: Convert to fraction form
    5,407/8,100.01 = 3,552.49/x
  3. Step 3: Cross multiply
    5,407x = 8,100.01 × 3,552.49
  4. Step 4: Simplify right side
    5,407x = 28,775,204.52
  5. Step 5: Solve for x
    x = 28,775,204.52/5,407
  6. Step 6: Final answer
    x = 5,321.84

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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.