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Finding the Fourth Proportional to 5,162.45, 7,750.96 and 3,283.45

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Solution

The fourth proportional to 5,162.45, 7,750.96 and 3,283.45 is: 4,929.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,162.45 : 7,750.96 = 3,283.45 : x
  2. Step 2: Convert to fraction form
    5,162.45/7,750.96 = 3,283.45/x
  3. Step 3: Cross multiply
    5,162.45x = 7,750.96 × 3,283.45
  4. Step 4: Simplify right side
    5,162.45x = 25,449,862.03
  5. Step 5: Solve for x
    x = 25,449,862.03/5,162.45
  6. Step 6: Final answer
    x = 4,929.81

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.