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Finding the Fourth Proportional to 5,748.79, 7,932.83 and 3,230.71

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Solution

The fourth proportional to 5,748.79, 7,932.83 and 3,230.71 is: 4,458.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.79 : 7,932.83 = 3,230.71 : x
  2. Step 2: Convert to fraction form
    5,748.79/7,932.83 = 3,230.71/x
  3. Step 3: Cross multiply
    5,748.79x = 7,932.83 × 3,230.71
  4. Step 4: Simplify right side
    5,748.79x = 25,628,673.21
  5. Step 5: Solve for x
    x = 25,628,673.21/5,748.79
  6. Step 6: Final answer
    x = 4,458.10

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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.