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Finding the Fourth Proportional to 3,963.06, 5,944.50 and 1,365.75

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Solution

The fourth proportional to 3,963.06, 5,944.50 and 1,365.75 is: 2,048.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.06 : 5,944.50 = 1,365.75 : x
  2. Step 2: Convert to fraction form
    3,963.06/5,944.50 = 1,365.75/x
  3. Step 3: Cross multiply
    3,963.06x = 5,944.50 × 1,365.75
  4. Step 4: Simplify right side
    3,963.06x = 8,118,700.88
  5. Step 5: Solve for x
    x = 8,118,700.88/3,963.06
  6. Step 6: Final answer
    x = 2,048.59

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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.