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Finding the Fourth Proportional to 4,277, 5,896.86 and 3,518

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Solution

The fourth proportional to 4,277, 5,896.86 and 3,518 is: 4,850.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277 : 5,896.86 = 3,518 : x
  2. Step 2: Convert to fraction form
    4,277/5,896.86 = 3,518/x
  3. Step 3: Cross multiply
    4,277x = 5,896.86 × 3,518
  4. Step 4: Simplify right side
    4,277x = 20,745,153.48
  5. Step 5: Solve for x
    x = 20,745,153.48/4,277
  6. Step 6: Final answer
    x = 4,850.40

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.