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Finding the Fourth Proportional to 5,139.60, 7,704.77 and 1,850.38

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Solution

The fourth proportional to 5,139.60, 7,704.77 and 1,850.38 is: 2,773.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,139.60 : 7,704.77 = 1,850.38 : x
  2. Step 2: Convert to fraction form
    5,139.60/7,704.77 = 1,850.38/x
  3. Step 3: Cross multiply
    5,139.60x = 7,704.77 × 1,850.38
  4. Step 4: Simplify right side
    5,139.60x = 14,256,704.54
  5. Step 5: Solve for x
    x = 14,256,704.54/5,139.60
  6. Step 6: Final answer
    x = 2,773.90

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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.