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Finding the Fourth Proportional to 5,896.65, 8,137.07 and 3,243.54

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Solution

The fourth proportional to 5,896.65, 8,137.07 and 3,243.54 is: 4,475.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.65 : 8,137.07 = 3,243.54 : x
  2. Step 2: Convert to fraction form
    5,896.65/8,137.07 = 3,243.54/x
  3. Step 3: Cross multiply
    5,896.65x = 8,137.07 × 3,243.54
  4. Step 4: Simplify right side
    5,896.65x = 26,392,895.81
  5. Step 5: Solve for x
    x = 26,392,895.81/5,896.65
  6. Step 6: Final answer
    x = 4,475.91

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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.