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Finding the Fourth Proportional to 3,692.26, 5,525.38 and 2,306.24

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Solution

The fourth proportional to 3,692.26, 5,525.38 and 2,306.24 is: 3,451.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.26 : 5,525.38 = 2,306.24 : x
  2. Step 2: Convert to fraction form
    3,692.26/5,525.38 = 2,306.24/x
  3. Step 3: Cross multiply
    3,692.26x = 5,525.38 × 2,306.24
  4. Step 4: Simplify right side
    3,692.26x = 12,742,879.43
  5. Step 5: Solve for x
    x = 12,742,879.43/3,692.26
  6. Step 6: Final answer
    x = 3,451.25

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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.