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Finding the Fourth Proportional to 3,486.78, 5,231.79 and 2,170.19

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Solution

The fourth proportional to 3,486.78, 5,231.79 and 2,170.19 is: 3,256.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.78 : 5,231.79 = 2,170.19 : x
  2. Step 2: Convert to fraction form
    3,486.78/5,231.79 = 2,170.19/x
  3. Step 3: Cross multiply
    3,486.78x = 5,231.79 × 2,170.19
  4. Step 4: Simplify right side
    3,486.78x = 11,353,991.42
  5. Step 5: Solve for x
    x = 11,353,991.42/3,486.78
  6. Step 6: Final answer
    x = 3,256.30

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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.