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Finding the Fourth Proportional to 3,277.47, 4,916.25 and 1,825.85

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Solution

The fourth proportional to 3,277.47, 4,916.25 and 1,825.85 is: 2,738.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,277.47 : 4,916.25 = 1,825.85 : x
  2. Step 2: Convert to fraction form
    3,277.47/4,916.25 = 1,825.85/x
  3. Step 3: Cross multiply
    3,277.47x = 4,916.25 × 1,825.85
  4. Step 4: Simplify right side
    3,277.47x = 8,976,310.48
  5. Step 5: Solve for x
    x = 8,976,310.48/3,277.47
  6. Step 6: Final answer
    x = 2,738.79

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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.