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Finding the Fourth Proportional to 5,889.98, 8,128.74 and 3,372.30

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Solution

The fourth proportional to 5,889.98, 8,128.74 and 3,372.30 is: 4,654.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.98 : 8,128.74 = 3,372.30 : x
  2. Step 2: Convert to fraction form
    5,889.98/8,128.74 = 3,372.30/x
  3. Step 3: Cross multiply
    5,889.98x = 8,128.74 × 3,372.30
  4. Step 4: Simplify right side
    5,889.98x = 27,412,509.26
  5. Step 5: Solve for x
    x = 27,412,509.26/5,889.98
  6. Step 6: Final answer
    x = 4,654.09

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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.