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Finding the Fourth Proportional to 5,889.96, 8,128.31 and 3,237.44

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Solution

The fourth proportional to 5,889.96, 8,128.31 and 3,237.44 is: 4,467.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,889.96 : 8,128.31 = 3,237.44 : x
  2. Step 2: Convert to fraction form
    5,889.96/8,128.31 = 3,237.44/x
  3. Step 3: Cross multiply
    5,889.96x = 8,128.31 × 3,237.44
  4. Step 4: Simplify right side
    5,889.96x = 26,314,859.10
  5. Step 5: Solve for x
    x = 26,314,859.10/5,889.96
  6. Step 6: Final answer
    x = 4,467.75

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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.