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Finding the Fourth Proportional to 5,896.64, 8,136.24 and 3,537.92

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Solution

The fourth proportional to 5,896.64, 8,136.24 and 3,537.92 is: 4,881.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.64 : 8,136.24 = 3,537.92 : x
  2. Step 2: Convert to fraction form
    5,896.64/8,136.24 = 3,537.92/x
  3. Step 3: Cross multiply
    5,896.64x = 8,136.24 × 3,537.92
  4. Step 4: Simplify right side
    5,896.64x = 28,785,366.22
  5. Step 5: Solve for x
    x = 28,785,366.22/5,896.64
  6. Step 6: Final answer
    x = 4,881.66

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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.