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Finding the Fourth Proportional to 3,963.98, 5,973.18 and 3,285.86

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Solution

The fourth proportional to 3,963.98, 5,973.18 and 3,285.86 is: 4,951.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,963.98 : 5,973.18 = 3,285.86 : x
  2. Step 2: Convert to fraction form
    3,963.98/5,973.18 = 3,285.86/x
  3. Step 3: Cross multiply
    3,963.98x = 5,973.18 × 3,285.86
  4. Step 4: Simplify right side
    3,963.98x = 19,627,003.37
  5. Step 5: Solve for x
    x = 19,627,003.37/3,963.98
  6. Step 6: Final answer
    x = 4,951.34

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.