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Finding the Fourth Proportional to 3,969.84, 5,954.58 and 1,372.98

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Solution

The fourth proportional to 3,969.84, 5,954.58 and 1,372.98 is: 2,059.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.84 : 5,954.58 = 1,372.98 : x
  2. Step 2: Convert to fraction form
    3,969.84/5,954.58 = 1,372.98/x
  3. Step 3: Cross multiply
    3,969.84x = 5,954.58 × 1,372.98
  4. Step 4: Simplify right side
    3,969.84x = 8,175,519.25
  5. Step 5: Solve for x
    x = 8,175,519.25/3,969.84
  6. Step 6: Final answer
    x = 2,059.41

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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.