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Finding the Fourth Proportional to 5,896.69, 8,134.69 and 3,771.19

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Solution

The fourth proportional to 5,896.69, 8,134.69 and 3,771.19 is: 5,202.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.69 : 8,134.69 = 3,771.19 : x
  2. Step 2: Convert to fraction form
    5,896.69/8,134.69 = 3,771.19/x
  3. Step 3: Cross multiply
    5,896.69x = 8,134.69 × 3,771.19
  4. Step 4: Simplify right side
    5,896.69x = 30,677,461.58
  5. Step 5: Solve for x
    x = 30,677,461.58/5,896.69
  6. Step 6: Final answer
    x = 5,202.49

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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.