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Finding the Fourth Proportional to 5,748.50, 7,932.75 and 3,230.55

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Solution

The fourth proportional to 5,748.50, 7,932.75 and 3,230.55 is: 4,458.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.50 : 7,932.75 = 3,230.55 : x
  2. Step 2: Convert to fraction form
    5,748.50/7,932.75 = 3,230.55/x
  3. Step 3: Cross multiply
    5,748.50x = 7,932.75 × 3,230.55
  4. Step 4: Simplify right side
    5,748.50x = 25,627,145.51
  5. Step 5: Solve for x
    x = 25,627,145.51/5,748.50
  6. Step 6: Final answer
    x = 4,458.06

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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.