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Finding the Fourth Proportional to 5,220.73, 7,204.71 and 2,863

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Solution

The fourth proportional to 5,220.73, 7,204.71 and 2,863 is: 3,951.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220.73 : 7,204.71 = 2,863 : x
  2. Step 2: Convert to fraction form
    5,220.73/7,204.71 = 2,863/x
  3. Step 3: Cross multiply
    5,220.73x = 7,204.71 × 2,863
  4. Step 4: Simplify right side
    5,220.73x = 20,627,084.73
  5. Step 5: Solve for x
    x = 20,627,084.73/5,220.73
  6. Step 6: Final answer
    x = 3,951.00

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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.