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Finding the Fourth Proportional to 3,456.81, 5,181.84 and 1,376.19

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Solution

The fourth proportional to 3,456.81, 5,181.84 and 1,376.19 is: 2,062.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,456.81 : 5,181.84 = 1,376.19 : x
  2. Step 2: Convert to fraction form
    3,456.81/5,181.84 = 1,376.19/x
  3. Step 3: Cross multiply
    3,456.81x = 5,181.84 × 1,376.19
  4. Step 4: Simplify right side
    3,456.81x = 7,131,196.39
  5. Step 5: Solve for x
    x = 7,131,196.39/3,456.81
  6. Step 6: Final answer
    x = 2,062.94

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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.