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Finding the Fourth Proportional to 4,513.96, 6,227.46 and 2,857

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Solution

The fourth proportional to 4,513.96, 6,227.46 and 2,857 is: 3,941.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.96 : 6,227.46 = 2,857 : x
  2. Step 2: Convert to fraction form
    4,513.96/6,227.46 = 2,857/x
  3. Step 3: Cross multiply
    4,513.96x = 6,227.46 × 2,857
  4. Step 4: Simplify right side
    4,513.96x = 17,791,853.22
  5. Step 5: Solve for x
    x = 17,791,853.22/4,513.96
  6. Step 6: Final answer
    x = 3,941.52

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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.