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Finding the Fourth Proportional to 3,380.13, 5,069.80 and 914.80

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Solution

The fourth proportional to 3,380.13, 5,069.80 and 914.80 is: 1,372.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,380.13 : 5,069.80 = 914.80 : x
  2. Step 2: Convert to fraction form
    3,380.13/5,069.80 = 914.80/x
  3. Step 3: Cross multiply
    3,380.13x = 5,069.80 × 914.80
  4. Step 4: Simplify right side
    3,380.13x = 4,637,853.04
  5. Step 5: Solve for x
    x = 4,637,853.04/3,380.13
  6. Step 6: Final answer
    x = 1,372.09

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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.