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Finding the Fourth Proportional to 5,896.56, 8,137.28 and 3,244.14

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Solution

The fourth proportional to 5,896.56, 8,137.28 and 3,244.14 is: 4,476.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.56 : 8,137.28 = 3,244.14 : x
  2. Step 2: Convert to fraction form
    5,896.56/8,137.28 = 3,244.14/x
  3. Step 3: Cross multiply
    5,896.56x = 8,137.28 × 3,244.14
  4. Step 4: Simplify right side
    5,896.56x = 26,398,483.65
  5. Step 5: Solve for x
    x = 26,398,483.65/5,896.56
  6. Step 6: Final answer
    x = 4,476.93

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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.