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Finding the Fourth Proportional to 3,379.41, 5,069.09 and 914.48

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Solution

The fourth proportional to 3,379.41, 5,069.09 and 914.48 is: 1,371.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,379.41 : 5,069.09 = 914.48 : x
  2. Step 2: Convert to fraction form
    3,379.41/5,069.09 = 914.48/x
  3. Step 3: Cross multiply
    3,379.41x = 5,069.09 × 914.48
  4. Step 4: Simplify right side
    3,379.41x = 4,635,551.51
  5. Step 5: Solve for x
    x = 4,635,551.51/3,379.41
  6. Step 6: Final answer
    x = 1,371.70

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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.