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Finding the Fourth Proportional to 4,644.21, 6,998.26 and 3,840.55

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Solution

The fourth proportional to 4,644.21, 6,998.26 and 3,840.55 is: 5,787.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,644.21 : 6,998.26 = 3,840.55 : x
  2. Step 2: Convert to fraction form
    4,644.21/6,998.26 = 3,840.55/x
  3. Step 3: Cross multiply
    4,644.21x = 6,998.26 × 3,840.55
  4. Step 4: Simplify right side
    4,644.21x = 26,877,167.44
  5. Step 5: Solve for x
    x = 26,877,167.44/4,644.21
  6. Step 6: Final answer
    x = 5,787.24

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These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.