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Finding the Fourth Proportional to 5,748.57, 7,933.27 and 3,230.68

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Solution

The fourth proportional to 5,748.57, 7,933.27 and 3,230.68 is: 4,458.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.57 : 7,933.27 = 3,230.68 : x
  2. Step 2: Convert to fraction form
    5,748.57/7,933.27 = 3,230.68/x
  3. Step 3: Cross multiply
    5,748.57x = 7,933.27 × 3,230.68
  4. Step 4: Simplify right side
    5,748.57x = 25,629,828.81
  5. Step 5: Solve for x
    x = 25,629,828.81/5,748.57
  6. Step 6: Final answer
    x = 4,458.47

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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.