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Finding the Fourth Proportional to 5,889.80, 8,127.99 and 3,201.02

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Solution

The fourth proportional to 5,889.80, 8,127.99 and 3,201.02 is: 4,417.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.80 : 8,127.99 = 3,201.02 : x
  2. Step 2: Convert to fraction form
    5,889.80/8,127.99 = 3,201.02/x
  3. Step 3: Cross multiply
    5,889.80x = 8,127.99 × 3,201.02
  4. Step 4: Simplify right side
    5,889.80x = 26,017,883.72
  5. Step 5: Solve for x
    x = 26,017,883.72/5,889.80
  6. Step 6: Final answer
    x = 4,417.44

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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.