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Finding the Fourth Proportional to 4,777.42, 7,163.16 and 1,855.06

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Solution

The fourth proportional to 4,777.42, 7,163.16 and 1,855.06 is: 2,781.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,777.42 : 7,163.16 = 1,855.06 : x
  2. Step 2: Convert to fraction form
    4,777.42/7,163.16 = 1,855.06/x
  3. Step 3: Cross multiply
    4,777.42x = 7,163.16 × 1,855.06
  4. Step 4: Simplify right side
    4,777.42x = 13,288,091.59
  5. Step 5: Solve for x
    x = 13,288,091.59/4,777.42
  6. Step 6: Final answer
    x = 2,781.44

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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.