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Finding the Fourth Proportional to 4,561.94, 6,842.94 and 3,943.82

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Solution

The fourth proportional to 4,561.94, 6,842.94 and 3,943.82 is: 5,915.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,561.94 : 6,842.94 = 3,943.82 : x
  2. Step 2: Convert to fraction form
    4,561.94/6,842.94 = 3,943.82/x
  3. Step 3: Cross multiply
    4,561.94x = 6,842.94 × 3,943.82
  4. Step 4: Simplify right side
    4,561.94x = 26,987,323.63
  5. Step 5: Solve for x
    x = 26,987,323.63/4,561.94
  6. Step 6: Final answer
    x = 5,915.76

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.