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Finding the Fourth Proportional to 3,850.68, 5,776.50 and 1,252.92

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Solution

The fourth proportional to 3,850.68, 5,776.50 and 1,252.92 is: 1,879.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,850.68 : 5,776.50 = 1,252.92 : x
  2. Step 2: Convert to fraction form
    3,850.68/5,776.50 = 1,252.92/x
  3. Step 3: Cross multiply
    3,850.68x = 5,776.50 × 1,252.92
  4. Step 4: Simplify right side
    3,850.68x = 7,237,492.38
  5. Step 5: Solve for x
    x = 7,237,492.38/3,850.68
  6. Step 6: Final answer
    x = 1,879.54

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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.