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Finding the Fourth Proportional to 4,633.66, 6,394.37 and 2,644.16

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Solution

The fourth proportional to 4,633.66, 6,394.37 and 2,644.16 is: 3,648.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,633.66 : 6,394.37 = 2,644.16 : x
  2. Step 2: Convert to fraction form
    4,633.66/6,394.37 = 2,644.16/x
  3. Step 3: Cross multiply
    4,633.66x = 6,394.37 × 2,644.16
  4. Step 4: Simplify right side
    4,633.66x = 16,907,724.16
  5. Step 5: Solve for x
    x = 16,907,724.16/4,633.66
  6. Step 6: Final answer
    x = 3,648.90

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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.