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Finding the Fourth Proportional to 4,692.65, 6,468.34 and 3,179.75

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Solution

The fourth proportional to 4,692.65, 6,468.34 and 3,179.75 is: 4,382.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.65 : 6,468.34 = 3,179.75 : x
  2. Step 2: Convert to fraction form
    4,692.65/6,468.34 = 3,179.75/x
  3. Step 3: Cross multiply
    4,692.65x = 6,468.34 × 3,179.75
  4. Step 4: Simplify right side
    4,692.65x = 20,567,663.82
  5. Step 5: Solve for x
    x = 20,567,663.82/4,692.65
  6. Step 6: Final answer
    x = 4,382.96

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