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Finding the Fourth Proportional to 4,199.44, 5,796.88 and 2,801.68

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Solution

The fourth proportional to 4,199.44, 5,796.88 and 2,801.68 is: 3,867.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.44 : 5,796.88 = 2,801.68 : x
  2. Step 2: Convert to fraction form
    4,199.44/5,796.88 = 2,801.68/x
  3. Step 3: Cross multiply
    4,199.44x = 5,796.88 × 2,801.68
  4. Step 4: Simplify right side
    4,199.44x = 16,241,002.76
  5. Step 5: Solve for x
    x = 16,241,002.76/4,199.44
  6. Step 6: Final answer
    x = 3,867.42

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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.