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Finding the Fourth Proportional to 3,983.07, 5,970.10 and 2,005.56

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Solution

The fourth proportional to 3,983.07, 5,970.10 and 2,005.56 is: 3,006.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.07 : 5,970.10 = 2,005.56 : x
  2. Step 2: Convert to fraction form
    3,983.07/5,970.10 = 2,005.56/x
  3. Step 3: Cross multiply
    3,983.07x = 5,970.10 × 2,005.56
  4. Step 4: Simplify right side
    3,983.07x = 11,973,353.88
  5. Step 5: Solve for x
    x = 11,973,353.88/3,983.07
  6. Step 6: Final answer
    x = 3,006.06

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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.