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Finding the Fourth Proportional to 4,701.92, 6,489.72 and 2,814.62

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Solution

The fourth proportional to 4,701.92, 6,489.72 and 2,814.62 is: 3,884.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,701.92 : 6,489.72 = 2,814.62 : x
  2. Step 2: Convert to fraction form
    4,701.92/6,489.72 = 2,814.62/x
  3. Step 3: Cross multiply
    4,701.92x = 6,489.72 × 2,814.62
  4. Step 4: Simplify right side
    4,701.92x = 18,266,063.26
  5. Step 5: Solve for x
    x = 18,266,063.26/4,701.92
  6. Step 6: Final answer
    x = 3,884.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.