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Finding the Fourth Proportional to 5,733.29, 7,913.62 and 3,744.16

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Solution

The fourth proportional to 5,733.29, 7,913.62 and 3,744.16 is: 5,168.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,733.29 : 7,913.62 = 3,744.16 : x
  2. Step 2: Convert to fraction form
    5,733.29/7,913.62 = 3,744.16/x
  3. Step 3: Cross multiply
    5,733.29x = 7,913.62 × 3,744.16
  4. Step 4: Simplify right side
    5,733.29x = 29,629,819.89
  5. Step 5: Solve for x
    x = 29,629,819.89/5,733.29
  6. Step 6: Final answer
    x = 5,168.03

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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.