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Finding the Fourth Proportional to 4,174.32, 6,267.82 and 2,623.98

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Solution

The fourth proportional to 4,174.32, 6,267.82 and 2,623.98 is: 3,939.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,174.32 : 6,267.82 = 2,623.98 : x
  2. Step 2: Convert to fraction form
    4,174.32/6,267.82 = 2,623.98/x
  3. Step 3: Cross multiply
    4,174.32x = 6,267.82 × 2,623.98
  4. Step 4: Simplify right side
    4,174.32x = 16,446,634.32
  5. Step 5: Solve for x
    x = 16,446,634.32/4,174.32
  6. Step 6: Final answer
    x = 3,939.96

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.