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Finding the Fourth Proportional to 3,412.44, 5,107.59 and 3,166.38

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Solution

The fourth proportional to 3,412.44, 5,107.59 and 3,166.38 is: 4,739.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,412.44 : 5,107.59 = 3,166.38 : x
  2. Step 2: Convert to fraction form
    3,412.44/5,107.59 = 3,166.38/x
  3. Step 3: Cross multiply
    3,412.44x = 5,107.59 × 3,166.38
  4. Step 4: Simplify right side
    3,412.44x = 16,172,570.82
  5. Step 5: Solve for x
    x = 16,172,570.82/3,412.44
  6. Step 6: Final answer
    x = 4,739.30

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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.