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Finding the Fourth Proportional to 6,232.71, 8,601.19 and 3,400.10

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Solution

The fourth proportional to 6,232.71, 8,601.19 and 3,400.10 is: 4,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,232.71 : 8,601.19 = 3,400.10 : x
  2. Step 2: Convert to fraction form
    6,232.71/8,601.19 = 3,400.10/x
  3. Step 3: Cross multiply
    6,232.71x = 8,601.19 × 3,400.10
  4. Step 4: Simplify right side
    6,232.71x = 29,244,935.25
  5. Step 5: Solve for x
    x = 29,244,935.25/6,232.71
  6. Step 6: Final answer
    x = 4,692.17

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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.