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Finding the Fourth Proportional to 3,692.93, 5,537.17 and 1,472.11

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Solution

The fourth proportional to 3,692.93, 5,537.17 and 1,472.11 is: 2,207.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.93 : 5,537.17 = 1,472.11 : x
  2. Step 2: Convert to fraction form
    3,692.93/5,537.17 = 1,472.11/x
  3. Step 3: Cross multiply
    3,692.93x = 5,537.17 × 1,472.11
  4. Step 4: Simplify right side
    3,692.93x = 8,151,295.64
  5. Step 5: Solve for x
    x = 8,151,295.64/3,692.93
  6. Step 6: Final answer
    x = 2,207.27

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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.