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Finding the Fourth Proportional to 5,355.43, 7,390.04 and 3,201.92

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Solution

The fourth proportional to 5,355.43, 7,390.04 and 3,201.92 is: 4,418.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,355.43 : 7,390.04 = 3,201.92 : x
  2. Step 2: Convert to fraction form
    5,355.43/7,390.04 = 3,201.92/x
  3. Step 3: Cross multiply
    5,355.43x = 7,390.04 × 3,201.92
  4. Step 4: Simplify right side
    5,355.43x = 23,662,316.88
  5. Step 5: Solve for x
    x = 23,662,316.88/5,355.43
  6. Step 6: Final answer
    x = 4,418.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.