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Finding the Fourth Proportional to 5,748.47, 7,932.82 and 3,231.01

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Solution

The fourth proportional to 5,748.47, 7,932.82 and 3,231.01 is: 4,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.47 : 7,932.82 = 3,231.01 : x
  2. Step 2: Convert to fraction form
    5,748.47/7,932.82 = 3,231.01/x
  3. Step 3: Cross multiply
    5,748.47x = 7,932.82 × 3,231.01
  4. Step 4: Simplify right side
    5,748.47x = 25,630,984.02
  5. Step 5: Solve for x
    x = 25,630,984.02/5,748.47
  6. Step 6: Final answer
    x = 4,458.75

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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.