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Finding the Fourth Proportional to 3,966.98, 5,953.20 and 2,020.52

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Solution

The fourth proportional to 3,966.98, 5,953.20 and 2,020.52 is: 3,032.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,966.98 : 5,953.20 = 2,020.52 : x
  2. Step 2: Convert to fraction form
    3,966.98/5,953.20 = 2,020.52/x
  3. Step 3: Cross multiply
    3,966.98x = 5,953.20 × 2,020.52
  4. Step 4: Simplify right side
    3,966.98x = 12,028,559.66
  5. Step 5: Solve for x
    x = 12,028,559.66/3,966.98
  6. Step 6: Final answer
    x = 3,032.17

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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.