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Finding the Fourth Proportional to 4,286.54, 6,428.83 and 2,064.24

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Solution

The fourth proportional to 4,286.54, 6,428.83 and 2,064.24 is: 3,095.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.54 : 6,428.83 = 2,064.24 : x
  2. Step 2: Convert to fraction form
    4,286.54/6,428.83 = 2,064.24/x
  3. Step 3: Cross multiply
    4,286.54x = 6,428.83 × 2,064.24
  4. Step 4: Simplify right side
    4,286.54x = 13,270,628.45
  5. Step 5: Solve for x
    x = 13,270,628.45/4,286.54
  6. Step 6: Final answer
    x = 3,095.89

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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.