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Finding the Fourth Proportional to 4,277, 5,896.92 and 3,569.86

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Solution

The fourth proportional to 4,277, 5,896.92 and 3,569.86 is: 4,921.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,277 : 5,896.92 = 3,569.86 : x
  2. Step 2: Convert to fraction form
    4,277/5,896.92 = 3,569.86/x
  3. Step 3: Cross multiply
    4,277x = 5,896.92 × 3,569.86
  4. Step 4: Simplify right side
    4,277x = 21,051,178.83
  5. Step 5: Solve for x
    x = 21,051,178.83/4,277
  6. Step 6: Final answer
    x = 4,921.95

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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.