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Finding the Fourth Proportional to 5,889.48, 8,123.22 and 4,185.24

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Solution

The fourth proportional to 5,889.48, 8,123.22 and 4,185.24 is: 5,772.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.48 : 8,123.22 = 4,185.24 : x
  2. Step 2: Convert to fraction form
    5,889.48/8,123.22 = 4,185.24/x
  3. Step 3: Cross multiply
    5,889.48x = 8,123.22 × 4,185.24
  4. Step 4: Simplify right side
    5,889.48x = 33,997,625.27
  5. Step 5: Solve for x
    x = 33,997,625.27/5,889.48
  6. Step 6: Final answer
    x = 5,772.60

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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.