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Finding the Fourth Proportional to 3,226.83, 4,840.24 and 2,302.82

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Solution

The fourth proportional to 3,226.83, 4,840.24 and 2,302.82 is: 3,454.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,226.83 : 4,840.24 = 2,302.82 : x
  2. Step 2: Convert to fraction form
    3,226.83/4,840.24 = 2,302.82/x
  3. Step 3: Cross multiply
    3,226.83x = 4,840.24 × 2,302.82
  4. Step 4: Simplify right side
    3,226.83x = 11,146,201.48
  5. Step 5: Solve for x
    x = 11,146,201.48/3,226.83
  6. Step 6: Final answer
    x = 3,454.23

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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.