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Finding the Fourth Proportional to 3,383.84, 5,072.28 and 1,536.24

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Solution

The fourth proportional to 3,383.84, 5,072.28 and 1,536.24 is: 2,302.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,383.84 : 5,072.28 = 1,536.24 : x
  2. Step 2: Convert to fraction form
    3,383.84/5,072.28 = 1,536.24/x
  3. Step 3: Cross multiply
    3,383.84x = 5,072.28 × 1,536.24
  4. Step 4: Simplify right side
    3,383.84x = 7,792,239.43
  5. Step 5: Solve for x
    x = 7,792,239.43/3,383.84
  6. Step 6: Final answer
    x = 2,302.78

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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.