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Finding the Fourth Proportional to 3,860.73, 5,323.73 and 2,864.43

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Solution

The fourth proportional to 3,860.73, 5,323.73 and 2,864.43 is: 3,949.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.73 : 5,323.73 = 2,864.43 : x
  2. Step 2: Convert to fraction form
    3,860.73/5,323.73 = 2,864.43/x
  3. Step 3: Cross multiply
    3,860.73x = 5,323.73 × 2,864.43
  4. Step 4: Simplify right side
    3,860.73x = 15,249,437.60
  5. Step 5: Solve for x
    x = 15,249,437.60/3,860.73
  6. Step 6: Final answer
    x = 3,949.88

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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.