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Finding the Fourth Proportional to 3,919.84, 5,877.63 and 1,286.73

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Solution

The fourth proportional to 3,919.84, 5,877.63 and 1,286.73 is: 1,929.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,919.84 : 5,877.63 = 1,286.73 : x
  2. Step 2: Convert to fraction form
    3,919.84/5,877.63 = 1,286.73/x
  3. Step 3: Cross multiply
    3,919.84x = 5,877.63 × 1,286.73
  4. Step 4: Simplify right side
    3,919.84x = 7,562,940.76
  5. Step 5: Solve for x
    x = 7,562,940.76/3,919.84
  6. Step 6: Final answer
    x = 1,929.40

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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.