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Finding the Fourth Proportional to 3,846.55, 5,273.62 and 3,776.49

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Solution

The fourth proportional to 3,846.55, 5,273.62 and 3,776.49 is: 5,177.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,846.55 : 5,273.62 = 3,776.49 : x
  2. Step 2: Convert to fraction form
    3,846.55/5,273.62 = 3,776.49/x
  3. Step 3: Cross multiply
    3,846.55x = 5,273.62 × 3,776.49
  4. Step 4: Simplify right side
    3,846.55x = 19,915,773.19
  5. Step 5: Solve for x
    x = 19,915,773.19/3,846.55
  6. Step 6: Final answer
    x = 5,177.57

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.