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Finding the Fourth Proportional to 4,232.44, 5,840.81 and 2,464.21

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Solution

The fourth proportional to 4,232.44, 5,840.81 and 2,464.21 is: 3,400.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,232.44 : 5,840.81 = 2,464.21 : x
  2. Step 2: Convert to fraction form
    4,232.44/5,840.81 = 2,464.21/x
  3. Step 3: Cross multiply
    4,232.44x = 5,840.81 × 2,464.21
  4. Step 4: Simplify right side
    4,232.44x = 14,392,982.41
  5. Step 5: Solve for x
    x = 14,392,982.41/4,232.44
  6. Step 6: Final answer
    x = 3,400.63

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.