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Finding the Fourth Proportional to 4,268.53, 6,404.73 and 1,927.27

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Solution

The fourth proportional to 4,268.53, 6,404.73 and 1,927.27 is: 2,891.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,268.53 : 6,404.73 = 1,927.27 : x
  2. Step 2: Convert to fraction form
    4,268.53/6,404.73 = 1,927.27/x
  3. Step 3: Cross multiply
    4,268.53x = 6,404.73 × 1,927.27
  4. Step 4: Simplify right side
    4,268.53x = 12,343,643.99
  5. Step 5: Solve for x
    x = 12,343,643.99/4,268.53
  6. Step 6: Final answer
    x = 2,891.78

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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.