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Finding the Fourth Proportional to 5,274.95, 7,906.07 and 1,940.51

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Solution

The fourth proportional to 5,274.95, 7,906.07 and 1,940.51 is: 2,908.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,274.95 : 7,906.07 = 1,940.51 : x
  2. Step 2: Convert to fraction form
    5,274.95/7,906.07 = 1,940.51/x
  3. Step 3: Cross multiply
    5,274.95x = 7,906.07 × 1,940.51
  4. Step 4: Simplify right side
    5,274.95x = 15,341,832.51
  5. Step 5: Solve for x
    x = 15,341,832.51/5,274.95
  6. Step 6: Final answer
    x = 2,908.43

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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.