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Finding the Fourth Proportional to 6,141.88, 8,475.38 and 3,623.41

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Solution

The fourth proportional to 6,141.88, 8,475.38 and 3,623.41 is: 5,000.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,141.88 : 8,475.38 = 3,623.41 : x
  2. Step 2: Convert to fraction form
    6,141.88/8,475.38 = 3,623.41/x
  3. Step 3: Cross multiply
    6,141.88x = 8,475.38 × 3,623.41
  4. Step 4: Simplify right side
    6,141.88x = 30,709,758.53
  5. Step 5: Solve for x
    x = 30,709,758.53/6,141.88
  6. Step 6: Final answer
    x = 5,000.06

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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.