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Finding the Fourth Proportional to 3,561, 4,912.02 and 2,300.04

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Solution

The fourth proportional to 3,561, 4,912.02 and 2,300.04 is: 3,172.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,561 : 4,912.02 = 2,300.04 : x
  2. Step 2: Convert to fraction form
    3,561/4,912.02 = 2,300.04/x
  3. Step 3: Cross multiply
    3,561x = 4,912.02 × 2,300.04
  4. Step 4: Simplify right side
    3,561x = 11,297,842.48
  5. Step 5: Solve for x
    x = 11,297,842.48/3,561
  6. Step 6: Final answer
    x = 3,172.66

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Why These Related Problems?

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