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Finding the Fourth Proportional to 3,966.31, 5,953.16 and 2,019.97

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Solution

The fourth proportional to 3,966.31, 5,953.16 and 2,019.97 is: 3,031.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.31 : 5,953.16 = 2,019.97 : x
  2. Step 2: Convert to fraction form
    3,966.31/5,953.16 = 2,019.97/x
  3. Step 3: Cross multiply
    3,966.31x = 5,953.16 × 2,019.97
  4. Step 4: Simplify right side
    3,966.31x = 12,025,194.51
  5. Step 5: Solve for x
    x = 12,025,194.51/3,966.31
  6. Step 6: Final answer
    x = 3,031.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.