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Finding the Fourth Proportional to 3,548.34, 4,896.72 and 1,976.46

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Solution

The fourth proportional to 3,548.34, 4,896.72 and 1,976.46 is: 2,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.34 : 4,896.72 = 1,976.46 : x
  2. Step 2: Convert to fraction form
    3,548.34/4,896.72 = 1,976.46/x
  3. Step 3: Cross multiply
    3,548.34x = 4,896.72 × 1,976.46
  4. Step 4: Simplify right side
    3,548.34x = 9,678,171.21
  5. Step 5: Solve for x
    x = 9,678,171.21/3,548.34
  6. Step 6: Final answer
    x = 2,727.52

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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.