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Finding the Fourth Proportional to 5,174.64, 7,754.76 and 2,706

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Solution

The fourth proportional to 5,174.64, 7,754.76 and 2,706 is: 4,055.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,174.64 : 7,754.76 = 2,706 : x
  2. Step 2: Convert to fraction form
    5,174.64/7,754.76 = 2,706/x
  3. Step 3: Cross multiply
    5,174.64x = 7,754.76 × 2,706
  4. Step 4: Simplify right side
    5,174.64x = 20,984,380.56
  5. Step 5: Solve for x
    x = 20,984,380.56/5,174.64
  6. Step 6: Final answer
    x = 4,055.23

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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.