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Finding the Fourth Proportional to 3,469.51, 5,202.95 and 1,128.90

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Solution

The fourth proportional to 3,469.51, 5,202.95 and 1,128.90 is: 1,692.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.51 : 5,202.95 = 1,128.90 : x
  2. Step 2: Convert to fraction form
    3,469.51/5,202.95 = 1,128.90/x
  3. Step 3: Cross multiply
    3,469.51x = 5,202.95 × 1,128.90
  4. Step 4: Simplify right side
    3,469.51x = 5,873,610.26
  5. Step 5: Solve for x
    x = 5,873,610.26/3,469.51
  6. Step 6: Final answer
    x = 1,692.92

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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.