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Finding the Fourth Proportional to 5,137.42, 7,708.22 and 1,850.77

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Solution

The fourth proportional to 5,137.42, 7,708.22 and 1,850.77 is: 2,776.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,137.42 : 7,708.22 = 1,850.77 : x
  2. Step 2: Convert to fraction form
    5,137.42/7,708.22 = 1,850.77/x
  3. Step 3: Cross multiply
    5,137.42x = 7,708.22 × 1,850.77
  4. Step 4: Simplify right side
    5,137.42x = 14,266,142.33
  5. Step 5: Solve for x
    x = 14,266,142.33/5,137.42
  6. Step 6: Final answer
    x = 2,776.91

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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.