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Finding the Fourth Proportional to 4,763.80, 7,142.19 and 3,298.78

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Solution

The fourth proportional to 4,763.80, 7,142.19 and 3,298.78 is: 4,945.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,763.80 : 7,142.19 = 3,298.78 : x
  2. Step 2: Convert to fraction form
    4,763.80/7,142.19 = 3,298.78/x
  3. Step 3: Cross multiply
    4,763.80x = 7,142.19 × 3,298.78
  4. Step 4: Simplify right side
    4,763.80x = 23,560,513.53
  5. Step 5: Solve for x
    x = 23,560,513.53/4,763.80
  6. Step 6: Final answer
    x = 4,945.74

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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.