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Finding the Fourth Proportional to 3,366.68, 5,051.22 and 1,286.84

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Solution

The fourth proportional to 3,366.68, 5,051.22 and 1,286.84 is: 1,930.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,366.68 : 5,051.22 = 1,286.84 : x
  2. Step 2: Convert to fraction form
    3,366.68/5,051.22 = 1,286.84/x
  3. Step 3: Cross multiply
    3,366.68x = 5,051.22 × 1,286.84
  4. Step 4: Simplify right side
    3,366.68x = 6,500,111.94
  5. Step 5: Solve for x
    x = 6,500,111.94/3,366.68
  6. Step 6: Final answer
    x = 1,930.72

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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.