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Finding the Fourth Proportional to 4,142.97, 6,205.34 and 2,677.68

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Solution

The fourth proportional to 4,142.97, 6,205.34 and 2,677.68 is: 4,010.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,142.97 : 6,205.34 = 2,677.68 : x
  2. Step 2: Convert to fraction form
    4,142.97/6,205.34 = 2,677.68/x
  3. Step 3: Cross multiply
    4,142.97x = 6,205.34 × 2,677.68
  4. Step 4: Simplify right side
    4,142.97x = 16,615,921.51
  5. Step 5: Solve for x
    x = 16,615,921.51/4,142.97
  6. Step 6: Final answer
    x = 4,010.63

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.