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Finding the Fourth Proportional to 5,984.82, 8,252.42 and 4,096.71

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Solution

The fourth proportional to 5,984.82, 8,252.42 and 4,096.71 is: 5,648.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,984.82 : 8,252.42 = 4,096.71 : x
  2. Step 2: Convert to fraction form
    5,984.82/8,252.42 = 4,096.71/x
  3. Step 3: Cross multiply
    5,984.82x = 8,252.42 × 4,096.71
  4. Step 4: Simplify right side
    5,984.82x = 33,807,751.05
  5. Step 5: Solve for x
    x = 33,807,751.05/5,984.82
  6. Step 6: Final answer
    x = 5,648.92

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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.