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Finding the Fourth Proportional to 4,266, 6,391.72 and 3,027.28

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Solution

The fourth proportional to 4,266, 6,391.72 and 3,027.28 is: 4,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,266 : 6,391.72 = 3,027.28 : x
  2. Step 2: Convert to fraction form
    4,266/6,391.72 = 3,027.28/x
  3. Step 3: Cross multiply
    4,266x = 6,391.72 × 3,027.28
  4. Step 4: Simplify right side
    4,266x = 19,349,526.12
  5. Step 5: Solve for x
    x = 19,349,526.12/4,266
  6. Step 6: Final answer
    x = 4,535.75

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