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Finding the Fourth Proportional to 5,733.54, 7,912.22 and 3,494.94

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Solution

The fourth proportional to 5,733.54, 7,912.22 and 3,494.94 is: 4,822.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.54 : 7,912.22 = 3,494.94 : x
  2. Step 2: Convert to fraction form
    5,733.54/7,912.22 = 3,494.94/x
  3. Step 3: Cross multiply
    5,733.54x = 7,912.22 × 3,494.94
  4. Step 4: Simplify right side
    5,733.54x = 27,652,734.17
  5. Step 5: Solve for x
    x = 27,652,734.17/5,733.54
  6. Step 6: Final answer
    x = 4,822.98

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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.