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Finding the Fourth Proportional to 3,469.64, 5,203.36 and 1,129.09

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Solution

The fourth proportional to 3,469.64, 5,203.36 and 1,129.09 is: 1,693.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.64 : 5,203.36 = 1,129.09 : x
  2. Step 2: Convert to fraction form
    3,469.64/5,203.36 = 1,129.09/x
  3. Step 3: Cross multiply
    3,469.64x = 5,203.36 × 1,129.09
  4. Step 4: Simplify right side
    3,469.64x = 5,875,063.08
  5. Step 5: Solve for x
    x = 5,875,063.08/3,469.64
  6. Step 6: Final answer
    x = 1,693.28

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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.