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Finding the Fourth Proportional to 3,947.13, 5,891.94 and 3,653.91

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Solution

The fourth proportional to 3,947.13, 5,891.94 and 3,653.91 is: 5,454.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.13 : 5,891.94 = 3,653.91 : x
  2. Step 2: Convert to fraction form
    3,947.13/5,891.94 = 3,653.91/x
  3. Step 3: Cross multiply
    3,947.13x = 5,891.94 × 3,653.91
  4. Step 4: Simplify right side
    3,947.13x = 21,528,618.49
  5. Step 5: Solve for x
    x = 21,528,618.49/3,947.13
  6. Step 6: Final answer
    x = 5,454.25

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.