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Finding the Fourth Proportional to 3,546.92, 4,897.84 and 2,222.90

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Solution

The fourth proportional to 3,546.92, 4,897.84 and 2,222.90 is: 3,069.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,546.92 : 4,897.84 = 2,222.90 : x
  2. Step 2: Convert to fraction form
    3,546.92/4,897.84 = 2,222.90/x
  3. Step 3: Cross multiply
    3,546.92x = 4,897.84 × 2,222.90
  4. Step 4: Simplify right side
    3,546.92x = 10,887,408.54
  5. Step 5: Solve for x
    x = 10,887,408.54/3,546.92
  6. Step 6: Final answer
    x = 3,069.54

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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.