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Finding the Fourth Proportional to 5,896.61, 8,137.47 and 3,244.10

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Solution

The fourth proportional to 5,896.61, 8,137.47 and 3,244.10 is: 4,476.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.61 : 8,137.47 = 3,244.10 : x
  2. Step 2: Convert to fraction form
    5,896.61/8,137.47 = 3,244.10/x
  3. Step 3: Cross multiply
    5,896.61x = 8,137.47 × 3,244.10
  4. Step 4: Simplify right side
    5,896.61x = 26,398,725.74
  5. Step 5: Solve for x
    x = 26,398,725.74/5,896.61
  6. Step 6: Final answer
    x = 4,476.94

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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.