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Finding the Fourth Proportional to 5,664.37, 8,499.47 and 2,546.54

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Solution

The fourth proportional to 5,664.37, 8,499.47 and 2,546.54 is: 3,821.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,664.37 : 8,499.47 = 2,546.54 : x
  2. Step 2: Convert to fraction form
    5,664.37/8,499.47 = 2,546.54/x
  3. Step 3: Cross multiply
    5,664.37x = 8,499.47 × 2,546.54
  4. Step 4: Simplify right side
    5,664.37x = 21,644,240.33
  5. Step 5: Solve for x
    x = 21,644,240.33/5,664.37
  6. Step 6: Final answer
    x = 3,821.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.