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Finding the Fourth Proportional to 5,541.92, 7,640.84 and 3,548.92

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Solution

The fourth proportional to 5,541.92, 7,640.84 and 3,548.92 is: 4,893.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.92 : 7,640.84 = 3,548.92 : x
  2. Step 2: Convert to fraction form
    5,541.92/7,640.84 = 3,548.92/x
  3. Step 3: Cross multiply
    5,541.92x = 7,640.84 × 3,548.92
  4. Step 4: Simplify right side
    5,541.92x = 27,116,729.89
  5. Step 5: Solve for x
    x = 27,116,729.89/5,541.92
  6. Step 6: Final answer
    x = 4,893.02

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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.