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Finding the Fourth Proportional to 3,511.90, 5,267.85 and 914.82

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Solution

The fourth proportional to 3,511.90, 5,267.85 and 914.82 is: 1,372.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.90 : 5,267.85 = 914.82 : x
  2. Step 2: Convert to fraction form
    3,511.90/5,267.85 = 914.82/x
  3. Step 3: Cross multiply
    3,511.90x = 5,267.85 × 914.82
  4. Step 4: Simplify right side
    3,511.90x = 4,819,134.54
  5. Step 5: Solve for x
    x = 4,819,134.54/3,511.90
  6. Step 6: Final answer
    x = 1,372.23

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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.