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Finding the Fourth Proportional to 4,555, 6,832.28 and 1,268.02

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Solution

The fourth proportional to 4,555, 6,832.28 and 1,268.02 is: 1,901.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,555 : 6,832.28 = 1,268.02 : x
  2. Step 2: Convert to fraction form
    4,555/6,832.28 = 1,268.02/x
  3. Step 3: Cross multiply
    4,555x = 6,832.28 × 1,268.02
  4. Step 4: Simplify right side
    4,555x = 8,663,467.69
  5. Step 5: Solve for x
    x = 8,663,467.69/4,555
  6. Step 6: Final answer
    x = 1,901.97

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.