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Finding the Fourth Proportional to 5,541.49, 7,640.33 and 3,548.77

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Solution

The fourth proportional to 5,541.49, 7,640.33 and 3,548.77 is: 4,892.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,541.49 : 7,640.33 = 3,548.77 : x
  2. Step 2: Convert to fraction form
    5,541.49/7,640.33 = 3,548.77/x
  3. Step 3: Cross multiply
    5,541.49x = 7,640.33 × 3,548.77
  4. Step 4: Simplify right side
    5,541.49x = 27,113,744.56
  5. Step 5: Solve for x
    x = 27,113,744.56/5,541.49
  6. Step 6: Final answer
    x = 4,892.87

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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.