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Finding the Fourth Proportional to 3,963.53, 5,945.60 and 3,764.00

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Solution

The fourth proportional to 3,963.53, 5,945.60 and 3,764.00 is: 5,646.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.53 : 5,945.60 = 3,764.00 : x
  2. Step 2: Convert to fraction form
    3,963.53/5,945.60 = 3,764.00/x
  3. Step 3: Cross multiply
    3,963.53x = 5,945.60 × 3,764.00
  4. Step 4: Simplify right side
    3,963.53x = 22,379,262.67
  5. Step 5: Solve for x
    x = 22,379,262.67/3,963.53
  6. Step 6: Final answer
    x = 5,646.29

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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.