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Finding the Fourth Proportional to 3,343.94, 4,610.28 and 2,744.20

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Solution

The fourth proportional to 3,343.94, 4,610.28 and 2,744.20 is: 3,783.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,343.94 : 4,610.28 = 2,744.20 : x
  2. Step 2: Convert to fraction form
    3,343.94/4,610.28 = 2,744.20/x
  3. Step 3: Cross multiply
    3,343.94x = 4,610.28 × 2,744.20
  4. Step 4: Simplify right side
    3,343.94x = 12,651,530.38
  5. Step 5: Solve for x
    x = 12,651,530.38/3,343.94
  6. Step 6: Final answer
    x = 3,783.42

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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.