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Finding the Fourth Proportional to 5,186.68, 7,777.02 and 1,900.78

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Solution

The fourth proportional to 5,186.68, 7,777.02 and 1,900.78 is: 2,850.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,186.68 : 7,777.02 = 1,900.78 : x
  2. Step 2: Convert to fraction form
    5,186.68/7,777.02 = 1,900.78/x
  3. Step 3: Cross multiply
    5,186.68x = 7,777.02 × 1,900.78
  4. Step 4: Simplify right side
    5,186.68x = 14,782,404.08
  5. Step 5: Solve for x
    x = 14,782,404.08/5,186.68
  6. Step 6: Final answer
    x = 2,850.07

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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.