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Finding the Fourth Proportional to 5,896.16, 8,136.50 and 3,473.52

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Solution

The fourth proportional to 5,896.16, 8,136.50 and 3,473.52 is: 4,793.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.16 : 8,136.50 = 3,473.52 : x
  2. Step 2: Convert to fraction form
    5,896.16/8,136.50 = 3,473.52/x
  3. Step 3: Cross multiply
    5,896.16x = 8,136.50 × 3,473.52
  4. Step 4: Simplify right side
    5,896.16x = 28,262,295.48
  5. Step 5: Solve for x
    x = 28,262,295.48/5,896.16
  6. Step 6: Final answer
    x = 4,793.34

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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.