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Finding the Fourth Proportional to 3,548.56, 4,896.78 and 1,976.56

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Solution

The fourth proportional to 3,548.56, 4,896.78 and 1,976.56 is: 2,727.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,548.56 : 4,896.78 = 1,976.56 : x
  2. Step 2: Convert to fraction form
    3,548.56/4,896.78 = 1,976.56/x
  3. Step 3: Cross multiply
    3,548.56x = 4,896.78 × 1,976.56
  4. Step 4: Simplify right side
    3,548.56x = 9,678,779.48
  5. Step 5: Solve for x
    x = 9,678,779.48/3,548.56
  6. Step 6: Final answer
    x = 2,727.52

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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.