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Finding the Fourth Proportional to 3,801.64, 5,245.96 and 2,122.94

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Solution

The fourth proportional to 3,801.64, 5,245.96 and 2,122.94 is: 2,929.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,801.64 : 5,245.96 = 2,122.94 : x
  2. Step 2: Convert to fraction form
    3,801.64/5,245.96 = 2,122.94/x
  3. Step 3: Cross multiply
    3,801.64x = 5,245.96 × 2,122.94
  4. Step 4: Simplify right side
    3,801.64x = 11,136,872.69
  5. Step 5: Solve for x
    x = 11,136,872.69/3,801.64
  6. Step 6: Final answer
    x = 2,929.49

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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.