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Finding the Fourth Proportional to 5,896.02, 8,128.98 and 4,481.22

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Solution

The fourth proportional to 5,896.02, 8,128.98 and 4,481.22 is: 6,178.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,896.02 : 8,128.98 = 4,481.22 : x
  2. Step 2: Convert to fraction form
    5,896.02/8,128.98 = 4,481.22/x
  3. Step 3: Cross multiply
    5,896.02x = 8,128.98 × 4,481.22
  4. Step 4: Simplify right side
    5,896.02x = 36,427,747.76
  5. Step 5: Solve for x
    x = 36,427,747.76/5,896.02
  6. Step 6: Final answer
    x = 6,178.36

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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.