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Finding the Fourth Proportional to 3,973.74, 5,969.25 and 2,677.74

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Solution

The fourth proportional to 3,973.74, 5,969.25 and 2,677.74 is: 4,022.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,973.74 : 5,969.25 = 2,677.74 : x
  2. Step 2: Convert to fraction form
    3,973.74/5,969.25 = 2,677.74/x
  3. Step 3: Cross multiply
    3,973.74x = 5,969.25 × 2,677.74
  4. Step 4: Simplify right side
    3,973.74x = 15,984,099.50
  5. Step 5: Solve for x
    x = 15,984,099.50/3,973.74
  6. Step 6: Final answer
    x = 4,022.43

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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.