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Finding the Fourth Proportional to 3,704.28, 5,100.75 and 3,072.48

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Solution

The fourth proportional to 3,704.28, 5,100.75 and 3,072.48 is: 4,230.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,704.28 : 5,100.75 = 3,072.48 : x
  2. Step 2: Convert to fraction form
    3,704.28/5,100.75 = 3,072.48/x
  3. Step 3: Cross multiply
    3,704.28x = 5,100.75 × 3,072.48
  4. Step 4: Simplify right side
    3,704.28x = 15,671,952.36
  5. Step 5: Solve for x
    x = 15,671,952.36/3,704.28
  6. Step 6: Final answer
    x = 4,230.77

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.