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Finding the Fourth Proportional to 5,219.73, 7,203.33 and 2,862

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Solution

The fourth proportional to 5,219.73, 7,203.33 and 2,862 is: 3,949.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,219.73 : 7,203.33 = 2,862 : x
  2. Step 2: Convert to fraction form
    5,219.73/7,203.33 = 2,862/x
  3. Step 3: Cross multiply
    5,219.73x = 7,203.33 × 2,862
  4. Step 4: Simplify right side
    5,219.73x = 20,615,930.46
  5. Step 5: Solve for x
    x = 20,615,930.46/5,219.73
  6. Step 6: Final answer
    x = 3,949.62

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Why These Related Problems?

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