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Finding the Fourth Proportional to 3,965.56, 5,952.03 and 2,019.22

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Solution

The fourth proportional to 3,965.56, 5,952.03 and 2,019.22 is: 3,030.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,965.56 : 5,952.03 = 2,019.22 : x
  2. Step 2: Convert to fraction form
    3,965.56/5,952.03 = 2,019.22/x
  3. Step 3: Cross multiply
    3,965.56x = 5,952.03 × 2,019.22
  4. Step 4: Simplify right side
    3,965.56x = 12,018,458.02
  5. Step 5: Solve for x
    x = 12,018,458.02/3,965.56
  6. Step 6: Final answer
    x = 3,030.71

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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.