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Finding the Fourth Proportional to 5,806.24, 8,012.31 and 3,153.64

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Solution

The fourth proportional to 5,806.24, 8,012.31 and 3,153.64 is: 4,351.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,806.24 : 8,012.31 = 3,153.64 : x
  2. Step 2: Convert to fraction form
    5,806.24/8,012.31 = 3,153.64/x
  3. Step 3: Cross multiply
    5,806.24x = 8,012.31 × 3,153.64
  4. Step 4: Simplify right side
    5,806.24x = 25,267,924.47
  5. Step 5: Solve for x
    x = 25,267,924.47/5,806.24
  6. Step 6: Final answer
    x = 4,351.86

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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.