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Finding the Fourth Proportional to 4,640.40, 6,954.09 and 2,561.37

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Solution

The fourth proportional to 4,640.40, 6,954.09 and 2,561.37 is: 3,838.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,640.40 : 6,954.09 = 2,561.37 : x
  2. Step 2: Convert to fraction form
    4,640.40/6,954.09 = 2,561.37/x
  3. Step 3: Cross multiply
    4,640.40x = 6,954.09 × 2,561.37
  4. Step 4: Simplify right side
    4,640.40x = 17,811,997.50
  5. Step 5: Solve for x
    x = 17,811,997.50/4,640.40
  6. Step 6: Final answer
    x = 3,838.46

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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.