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Finding the Fourth Proportional to 3,712.97, 5,566.38 and 1,956.99

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Solution

The fourth proportional to 3,712.97, 5,566.38 and 1,956.99 is: 2,933.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,712.97 : 5,566.38 = 1,956.99 : x
  2. Step 2: Convert to fraction form
    3,712.97/5,566.38 = 1,956.99/x
  3. Step 3: Cross multiply
    3,712.97x = 5,566.38 × 1,956.99
  4. Step 4: Simplify right side
    3,712.97x = 10,893,350.00
  5. Step 5: Solve for x
    x = 10,893,350.00/3,712.97
  6. Step 6: Final answer
    x = 2,933.86

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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.