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Finding the Fourth Proportional to 5,995.74, 8,269.47 and 5,324.25

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Solution

The fourth proportional to 5,995.74, 8,269.47 and 5,324.25 is: 7,343.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,995.74 : 8,269.47 = 5,324.25 : x
  2. Step 2: Convert to fraction form
    5,995.74/8,269.47 = 5,324.25/x
  3. Step 3: Cross multiply
    5,995.74x = 8,269.47 × 5,324.25
  4. Step 4: Simplify right side
    5,995.74x = 44,028,725.65
  5. Step 5: Solve for x
    x = 44,028,725.65/5,995.74
  6. Step 6: Final answer
    x = 7,343.33

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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.