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Finding the Fourth Proportional to 5,748.34, 7,932.48 and 3,230.44

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Solution

The fourth proportional to 5,748.34, 7,932.48 and 3,230.44 is: 4,457.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.34 : 7,932.48 = 3,230.44 : x
  2. Step 2: Convert to fraction form
    5,748.34/7,932.48 = 3,230.44/x
  3. Step 3: Cross multiply
    5,748.34x = 7,932.48 × 3,230.44
  4. Step 4: Simplify right side
    5,748.34x = 25,625,400.69
  5. Step 5: Solve for x
    x = 25,625,400.69/5,748.34
  6. Step 6: Final answer
    x = 4,457.88

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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.