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Finding the Fourth Proportional to 5,896.99, 8,138.24 and 4,127.95

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Solution

The fourth proportional to 5,896.99, 8,138.24 and 4,127.95 is: 5,696.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.99 : 8,138.24 = 4,127.95 : x
  2. Step 2: Convert to fraction form
    5,896.99/8,138.24 = 4,127.95/x
  3. Step 3: Cross multiply
    5,896.99x = 8,138.24 × 4,127.95
  4. Step 4: Simplify right side
    5,896.99x = 33,594,247.81
  5. Step 5: Solve for x
    x = 33,594,247.81/5,896.99
  6. Step 6: Final answer
    x = 5,696.85

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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.