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Finding the Fourth Proportional to 3,511.69, 5,267.84 and 914.63

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Solution

The fourth proportional to 3,511.69, 5,267.84 and 914.63 is: 1,372.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.69 : 5,267.84 = 914.63 : x
  2. Step 2: Convert to fraction form
    3,511.69/5,267.84 = 914.63/x
  3. Step 3: Cross multiply
    3,511.69x = 5,267.84 × 914.63
  4. Step 4: Simplify right side
    3,511.69x = 4,818,093.59
  5. Step 5: Solve for x
    x = 4,818,093.59/3,511.69
  6. Step 6: Final answer
    x = 1,372.02

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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.