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Finding the Fourth Proportional to 3,277.55, 4,916.27 and 812.38

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Solution

The fourth proportional to 3,277.55, 4,916.27 and 812.38 is: 1,218.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.55 : 4,916.27 = 812.38 : x
  2. Step 2: Convert to fraction form
    3,277.55/4,916.27 = 812.38/x
  3. Step 3: Cross multiply
    3,277.55x = 4,916.27 × 812.38
  4. Step 4: Simplify right side
    3,277.55x = 3,993,850.78
  5. Step 5: Solve for x
    x = 3,993,850.78/3,277.55
  6. Step 6: Final answer
    x = 1,218.55

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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.