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Finding the Fourth Proportional to 3,964.56, 5,950.53 and 2,018.22

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Solution

The fourth proportional to 3,964.56, 5,950.53 and 2,018.22 is: 3,029.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,964.56 : 5,950.53 = 2,018.22 : x
  2. Step 2: Convert to fraction form
    3,964.56/5,950.53 = 2,018.22/x
  3. Step 3: Cross multiply
    3,964.56x = 5,950.53 × 2,018.22
  4. Step 4: Simplify right side
    3,964.56x = 12,009,478.66
  5. Step 5: Solve for x
    x = 12,009,478.66/3,964.56
  6. Step 6: Final answer
    x = 3,029.21

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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.