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Finding the Fourth Proportional to 5,748.26, 7,932.26 and 3,230.46

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Solution

The fourth proportional to 5,748.26, 7,932.26 and 3,230.46 is: 4,457.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,748.26 : 7,932.26 = 3,230.46 : x
  2. Step 2: Convert to fraction form
    5,748.26/7,932.26 = 3,230.46/x
  3. Step 3: Cross multiply
    5,748.26x = 7,932.26 × 3,230.46
  4. Step 4: Simplify right side
    5,748.26x = 25,624,856.72
  5. Step 5: Solve for x
    x = 25,624,856.72/5,748.26
  6. Step 6: Final answer
    x = 4,457.85

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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.