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Finding the Fourth Proportional to 3,477.33, 5,212.49 and 1,742.31

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Solution

The fourth proportional to 3,477.33, 5,212.49 and 1,742.31 is: 2,611.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,477.33 : 5,212.49 = 1,742.31 : x
  2. Step 2: Convert to fraction form
    3,477.33/5,212.49 = 1,742.31/x
  3. Step 3: Cross multiply
    3,477.33x = 5,212.49 × 1,742.31
  4. Step 4: Simplify right side
    3,477.33x = 9,081,764.74
  5. Step 5: Solve for x
    x = 9,081,764.74/3,477.33
  6. Step 6: Final answer
    x = 2,611.71

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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.