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Finding the Fourth Proportional to 3,477.96, 5,214.47 and 1,286.43

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Solution

The fourth proportional to 3,477.96, 5,214.47 and 1,286.43 is: 1,928.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.96 : 5,214.47 = 1,286.43 : x
  2. Step 2: Convert to fraction form
    3,477.96/5,214.47 = 1,286.43/x
  3. Step 3: Cross multiply
    3,477.96x = 5,214.47 × 1,286.43
  4. Step 4: Simplify right side
    3,477.96x = 6,708,044.21
  5. Step 5: Solve for x
    x = 6,708,044.21/3,477.96
  6. Step 6: Final answer
    x = 1,928.73

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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.