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Finding the Fourth Proportional to 5,274.76, 7,914.96 and 3,425.44

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Solution

The fourth proportional to 5,274.76, 7,914.96 and 3,425.44 is: 5,139.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.76 : 7,914.96 = 3,425.44 : x
  2. Step 2: Convert to fraction form
    5,274.76/7,914.96 = 3,425.44/x
  3. Step 3: Cross multiply
    5,274.76x = 7,914.96 × 3,425.44
  4. Step 4: Simplify right side
    5,274.76x = 27,112,220.58
  5. Step 5: Solve for x
    x = 27,112,220.58/5,274.76
  6. Step 6: Final answer
    x = 5,139.99

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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.