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Finding the Fourth Proportional to 5,677.11, 7,829.42 and 3,974.74

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Solution

The fourth proportional to 5,677.11, 7,829.42 and 3,974.74 is: 5,481.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,677.11 : 7,829.42 = 3,974.74 : x
  2. Step 2: Convert to fraction form
    5,677.11/7,829.42 = 3,974.74/x
  3. Step 3: Cross multiply
    5,677.11x = 7,829.42 × 3,974.74
  4. Step 4: Simplify right side
    5,677.11x = 31,119,913.87
  5. Step 5: Solve for x
    x = 31,119,913.87/5,677.11
  6. Step 6: Final answer
    x = 5,481.65

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