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Finding the Fourth Proportional to 4,067.76, 6,101.37 and 1,294.41

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Solution

The fourth proportional to 4,067.76, 6,101.37 and 1,294.41 is: 1,941.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,067.76 : 6,101.37 = 1,294.41 : x
  2. Step 2: Convert to fraction form
    4,067.76/6,101.37 = 1,294.41/x
  3. Step 3: Cross multiply
    4,067.76x = 6,101.37 × 1,294.41
  4. Step 4: Simplify right side
    4,067.76x = 7,897,674.34
  5. Step 5: Solve for x
    x = 7,897,674.34/4,067.76
  6. Step 6: Final answer
    x = 1,941.53

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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.