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Finding the Fourth Proportional to 3,511.77, 5,267.10 and 1,203.27

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Solution

The fourth proportional to 3,511.77, 5,267.10 and 1,203.27 is: 1,804.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,511.77 : 5,267.10 = 1,203.27 : x
  2. Step 2: Convert to fraction form
    3,511.77/5,267.10 = 1,203.27/x
  3. Step 3: Cross multiply
    3,511.77x = 5,267.10 × 1,203.27
  4. Step 4: Simplify right side
    3,511.77x = 6,337,743.42
  5. Step 5: Solve for x
    x = 6,337,743.42/3,511.77
  6. Step 6: Final answer
    x = 1,804.71

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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.