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Finding the Fourth Proportional to 5,384.97, 7,431.23 and 3,027.14

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Solution

The fourth proportional to 5,384.97, 7,431.23 and 3,027.14 is: 4,177.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,384.97 : 7,431.23 = 3,027.14 : x
  2. Step 2: Convert to fraction form
    5,384.97/7,431.23 = 3,027.14/x
  3. Step 3: Cross multiply
    5,384.97x = 7,431.23 × 3,027.14
  4. Step 4: Simplify right side
    5,384.97x = 22,495,321.29
  5. Step 5: Solve for x
    x = 22,495,321.29/5,384.97
  6. Step 6: Final answer
    x = 4,177.43

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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.