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Finding the Fourth Proportional to 4,600.97, 6,892.29 and 2,132.39

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Solution

The fourth proportional to 4,600.97, 6,892.29 and 2,132.39 is: 3,194.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,600.97 : 6,892.29 = 2,132.39 : x
  2. Step 2: Convert to fraction form
    4,600.97/6,892.29 = 2,132.39/x
  3. Step 3: Cross multiply
    4,600.97x = 6,892.29 × 2,132.39
  4. Step 4: Simplify right side
    4,600.97x = 14,697,067.50
  5. Step 5: Solve for x
    x = 14,697,067.50/4,600.97
  6. Step 6: Final answer
    x = 3,194.34

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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.