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Finding the Fourth Proportional to 5,546.08, 7,650.07 and 4,216.87

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Solution

The fourth proportional to 5,546.08, 7,650.07 and 4,216.87 is: 5,816.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,546.08 : 7,650.07 = 4,216.87 : x
  2. Step 2: Convert to fraction form
    5,546.08/7,650.07 = 4,216.87/x
  3. Step 3: Cross multiply
    5,546.08x = 7,650.07 × 4,216.87
  4. Step 4: Simplify right side
    5,546.08x = 32,259,350.68
  5. Step 5: Solve for x
    x = 32,259,350.68/5,546.08
  6. Step 6: Final answer
    x = 5,816.60

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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.