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Finding the Fourth Proportional to 3,383.18, 5,073.27 and 1,534.22

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Solution

The fourth proportional to 3,383.18, 5,073.27 and 1,534.22 is: 2,300.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.18 : 5,073.27 = 1,534.22 : x
  2. Step 2: Convert to fraction form
    3,383.18/5,073.27 = 1,534.22/x
  3. Step 3: Cross multiply
    3,383.18x = 5,073.27 × 1,534.22
  4. Step 4: Simplify right side
    3,383.18x = 7,783,512.30
  5. Step 5: Solve for x
    x = 7,783,512.30/3,383.18
  6. Step 6: Final answer
    x = 2,300.65

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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.