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Finding the Fourth Proportional to 5,363.88, 7,402.14 and 3,268

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Solution

The fourth proportional to 5,363.88, 7,402.14 and 3,268 is: 4,509.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,363.88 : 7,402.14 = 3,268 : x
  2. Step 2: Convert to fraction form
    5,363.88/7,402.14 = 3,268/x
  3. Step 3: Cross multiply
    5,363.88x = 7,402.14 × 3,268
  4. Step 4: Simplify right side
    5,363.88x = 24,190,193.52
  5. Step 5: Solve for x
    x = 24,190,193.52/5,363.88
  6. Step 6: Final answer
    x = 4,509.83

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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.