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Finding the Fourth Proportional to 3,548.54, 4,896.97 and 1,976.63

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Solution

The fourth proportional to 3,548.54, 4,896.97 and 1,976.63 is: 2,727.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.54 : 4,896.97 = 1,976.63 : x
  2. Step 2: Convert to fraction form
    3,548.54/4,896.97 = 1,976.63/x
  3. Step 3: Cross multiply
    3,548.54x = 4,896.97 × 1,976.63
  4. Step 4: Simplify right side
    3,548.54x = 9,679,468.38
  5. Step 5: Solve for x
    x = 9,679,468.38/3,548.54
  6. Step 6: Final answer
    x = 2,727.73

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.