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Finding the Fourth Proportional to 4,692.56, 7,046.89 and 4,166.65

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Solution

The fourth proportional to 4,692.56, 7,046.89 and 4,166.65 is: 6,257.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,692.56 : 7,046.89 = 4,166.65 : x
  2. Step 2: Convert to fraction form
    4,692.56/7,046.89 = 4,166.65/x
  3. Step 3: Cross multiply
    4,692.56x = 7,046.89 × 4,166.65
  4. Step 4: Simplify right side
    4,692.56x = 29,361,903.39
  5. Step 5: Solve for x
    x = 29,361,903.39/4,692.56
  6. Step 6: Final answer
    x = 6,257.13

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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.