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Finding the Fourth Proportional to 5,736.70, 7,916.97 and 3,218.68

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Solution

The fourth proportional to 5,736.70, 7,916.97 and 3,218.68 is: 4,441.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,736.70 : 7,916.97 = 3,218.68 : x
  2. Step 2: Convert to fraction form
    5,736.70/7,916.97 = 3,218.68/x
  3. Step 3: Cross multiply
    5,736.70x = 7,916.97 × 3,218.68
  4. Step 4: Simplify right side
    5,736.70x = 25,482,193.00
  5. Step 5: Solve for x
    x = 25,482,193.00/5,736.70
  6. Step 6: Final answer
    x = 4,441.96

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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.