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Finding the Fourth Proportional to 3,810.68, 5,704.77 and 2,816.90

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Solution

The fourth proportional to 3,810.68, 5,704.77 and 2,816.90 is: 4,217.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,810.68 : 5,704.77 = 2,816.90 : x
  2. Step 2: Convert to fraction form
    3,810.68/5,704.77 = 2,816.90/x
  3. Step 3: Cross multiply
    3,810.68x = 5,704.77 × 2,816.90
  4. Step 4: Simplify right side
    3,810.68x = 16,069,738.09
  5. Step 5: Solve for x
    x = 16,069,738.09/3,810.68
  6. Step 6: Final answer
    x = 4,217.03

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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.