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Finding the Fourth Proportional to 5,243.14, 7,236.02 and 3,005.21

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Solution

The fourth proportional to 5,243.14, 7,236.02 and 3,005.21 is: 4,147.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,243.14 : 7,236.02 = 3,005.21 : x
  2. Step 2: Convert to fraction form
    5,243.14/7,236.02 = 3,005.21/x
  3. Step 3: Cross multiply
    5,243.14x = 7,236.02 × 3,005.21
  4. Step 4: Simplify right side
    5,243.14x = 21,745,785.27
  5. Step 5: Solve for x
    x = 21,745,785.27/5,243.14
  6. Step 6: Final answer
    x = 4,147.47

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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.