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Finding the Fourth Proportional to 3,903.67, 5,847.63 and 1,820.80

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Solution

The fourth proportional to 3,903.67, 5,847.63 and 1,820.80 is: 2,727.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.67 : 5,847.63 = 1,820.80 : x
  2. Step 2: Convert to fraction form
    3,903.67/5,847.63 = 1,820.80/x
  3. Step 3: Cross multiply
    3,903.67x = 5,847.63 × 1,820.80
  4. Step 4: Simplify right side
    3,903.67x = 10,647,364.70
  5. Step 5: Solve for x
    x = 10,647,364.70/3,903.67
  6. Step 6: Final answer
    x = 2,727.53

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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.