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Finding the Fourth Proportional to 5,896.37, 8,838.41 and 2,196.99

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Solution

The fourth proportional to 5,896.37, 8,838.41 and 2,196.99 is: 3,293.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.37 : 8,838.41 = 2,196.99 : x
  2. Step 2: Convert to fraction form
    5,896.37/8,838.41 = 2,196.99/x
  3. Step 3: Cross multiply
    5,896.37x = 8,838.41 × 2,196.99
  4. Step 4: Simplify right side
    5,896.37x = 19,417,887.40
  5. Step 5: Solve for x
    x = 19,417,887.40/5,896.37
  6. Step 6: Final answer
    x = 3,293.19

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.