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Finding the Fourth Proportional to 4,213.60, 5,817.16 and 2,799.23

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Solution

The fourth proportional to 4,213.60, 5,817.16 and 2,799.23 is: 3,864.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,213.60 : 5,817.16 = 2,799.23 : x
  2. Step 2: Convert to fraction form
    4,213.60/5,817.16 = 2,799.23/x
  3. Step 3: Cross multiply
    4,213.60x = 5,817.16 × 2,799.23
  4. Step 4: Simplify right side
    4,213.60x = 16,283,568.79
  5. Step 5: Solve for x
    x = 16,283,568.79/4,213.60
  6. Step 6: Final answer
    x = 3,864.53

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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.