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Finding the Fourth Proportional to 4,286.43, 6,429.83 and 2,097

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Solution

The fourth proportional to 4,286.43, 6,429.83 and 2,097 is: 3,145.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,286.43 : 6,429.83 = 2,097 : x
  2. Step 2: Convert to fraction form
    4,286.43/6,429.83 = 2,097/x
  3. Step 3: Cross multiply
    4,286.43x = 6,429.83 × 2,097
  4. Step 4: Simplify right side
    4,286.43x = 13,483,343.03
  5. Step 5: Solve for x
    x = 13,483,343.03/4,286.43
  6. Step 6: Final answer
    x = 3,145.59

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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.