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Finding the Fourth Proportional to 3,548.52, 4,896.78 and 1,976.76

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Solution

The fourth proportional to 3,548.52, 4,896.78 and 1,976.76 is: 2,727.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.52 : 4,896.78 = 1,976.76 : x
  2. Step 2: Convert to fraction form
    3,548.52/4,896.78 = 1,976.76/x
  3. Step 3: Cross multiply
    3,548.52x = 4,896.78 × 1,976.76
  4. Step 4: Simplify right side
    3,548.52x = 9,679,758.83
  5. Step 5: Solve for x
    x = 9,679,758.83/3,548.52
  6. Step 6: Final answer
    x = 2,727.83

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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.