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Finding the Fourth Proportional to 3,692.24, 5,515.06 and 3,109.04

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Solution

The fourth proportional to 3,692.24, 5,515.06 and 3,109.04 is: 4,643.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,692.24 : 5,515.06 = 3,109.04 : x
  2. Step 2: Convert to fraction form
    3,692.24/5,515.06 = 3,109.04/x
  3. Step 3: Cross multiply
    3,692.24x = 5,515.06 × 3,109.04
  4. Step 4: Simplify right side
    3,692.24x = 17,146,542.14
  5. Step 5: Solve for x
    x = 17,146,542.14/3,692.24
  6. Step 6: Final answer
    x = 4,643.94

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These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.