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Finding the Fourth Proportional to 3,548.09, 4,896.74 and 1,954.90

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Solution

The fourth proportional to 3,548.09, 4,896.74 and 1,954.90 is: 2,697.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.09 : 4,896.74 = 1,954.90 : x
  2. Step 2: Convert to fraction form
    3,548.09/4,896.74 = 1,954.90/x
  3. Step 3: Cross multiply
    3,548.09x = 4,896.74 × 1,954.90
  4. Step 4: Simplify right side
    3,548.09x = 9,572,620.49
  5. Step 5: Solve for x
    x = 9,572,620.49/3,548.09
  6. Step 6: Final answer
    x = 2,697.97

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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.