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Finding the Fourth Proportional to 3,511.42, 5,266.68 and 914.56

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Solution

The fourth proportional to 3,511.42, 5,266.68 and 914.56 is: 1,371.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.42 : 5,266.68 = 914.56 : x
  2. Step 2: Convert to fraction form
    3,511.42/5,266.68 = 914.56/x
  3. Step 3: Cross multiply
    3,511.42x = 5,266.68 × 914.56
  4. Step 4: Simplify right side
    3,511.42x = 4,816,694.86
  5. Step 5: Solve for x
    x = 4,816,694.86/3,511.42
  6. Step 6: Final answer
    x = 1,371.72

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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.