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Finding the Fourth Proportional to 4,963.87, 6,832.98 and 4,291.37

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Solution

The fourth proportional to 4,963.87, 6,832.98 and 4,291.37 is: 5,907.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,963.87 : 6,832.98 = 4,291.37 : x
  2. Step 2: Convert to fraction form
    4,963.87/6,832.98 = 4,291.37/x
  3. Step 3: Cross multiply
    4,963.87x = 6,832.98 × 4,291.37
  4. Step 4: Simplify right side
    4,963.87x = 29,322,845.38
  5. Step 5: Solve for x
    x = 29,322,845.38/4,963.87
  6. Step 6: Final answer
    x = 5,907.25

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.