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Finding the Fourth Proportional to 4,238.82, 6,356.67 and 1,464.78

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Solution

The fourth proportional to 4,238.82, 6,356.67 and 1,464.78 is: 2,196.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,238.82 : 6,356.67 = 1,464.78 : x
  2. Step 2: Convert to fraction form
    4,238.82/6,356.67 = 1,464.78/x
  3. Step 3: Cross multiply
    4,238.82x = 6,356.67 × 1,464.78
  4. Step 4: Simplify right side
    4,238.82x = 9,311,123.08
  5. Step 5: Solve for x
    x = 9,311,123.08/4,238.82
  6. Step 6: Final answer
    x = 2,196.63

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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.