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Finding the Fourth Proportional to 4,207.68, 6,306.24 and 1,896

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Solution

The fourth proportional to 4,207.68, 6,306.24 and 1,896 is: 2,841.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,207.68 : 6,306.24 = 1,896 : x
  2. Step 2: Convert to fraction form
    4,207.68/6,306.24 = 1,896/x
  3. Step 3: Cross multiply
    4,207.68x = 6,306.24 × 1,896
  4. Step 4: Simplify right side
    4,207.68x = 11,956,631.04
  5. Step 5: Solve for x
    x = 11,956,631.04/4,207.68
  6. Step 6: Final answer
    x = 2,841.62

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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.