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Finding the Fourth Proportional to 4,169.73, 5,754.74 and 2,377.65

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Solution

The fourth proportional to 4,169.73, 5,754.74 and 2,377.65 is: 3,281.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,169.73 : 5,754.74 = 2,377.65 : x
  2. Step 2: Convert to fraction form
    4,169.73/5,754.74 = 2,377.65/x
  3. Step 3: Cross multiply
    4,169.73x = 5,754.74 × 2,377.65
  4. Step 4: Simplify right side
    4,169.73x = 13,682,745.67
  5. Step 5: Solve for x
    x = 13,682,745.67/4,169.73
  6. Step 6: Final answer
    x = 3,281.45

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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.