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Finding the Fourth Proportional to 3,469.01, 5,202.20 and 1,128.40

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Solution

The fourth proportional to 3,469.01, 5,202.20 and 1,128.40 is: 1,692.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.01 : 5,202.20 = 1,128.40 : x
  2. Step 2: Convert to fraction form
    3,469.01/5,202.20 = 1,128.40/x
  3. Step 3: Cross multiply
    3,469.01x = 5,202.20 × 1,128.40
  4. Step 4: Simplify right side
    3,469.01x = 5,870,152.30
  5. Step 5: Solve for x
    x = 5,870,152.30/3,469.01
  6. Step 6: Final answer
    x = 1,692.17

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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.