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Finding the Fourth Proportional to 3,468.96, 5,202.24 and 1,128.36

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Solution

The fourth proportional to 3,468.96, 5,202.24 and 1,128.36 is: 1,692.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,468.96 : 5,202.24 = 1,128.36 : x
  2. Step 2: Convert to fraction form
    3,468.96/5,202.24 = 1,128.36/x
  3. Step 3: Cross multiply
    3,468.96x = 5,202.24 × 1,128.36
  4. Step 4: Simplify right side
    3,468.96x = 5,869,999.53
  5. Step 5: Solve for x
    x = 5,869,999.53/3,468.96
  6. Step 6: Final answer
    x = 1,692.15

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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.