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Finding the Fourth Proportional to 5,971.29, 8,954.79 and 2,274.51

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Solution

The fourth proportional to 5,971.29, 8,954.79 and 2,274.51 is: 3,410.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,971.29 : 8,954.79 = 2,274.51 : x
  2. Step 2: Convert to fraction form
    5,971.29/8,954.79 = 2,274.51/x
  3. Step 3: Cross multiply
    5,971.29x = 8,954.79 × 2,274.51
  4. Step 4: Simplify right side
    5,971.29x = 20,367,759.40
  5. Step 5: Solve for x
    x = 20,367,759.40/5,971.29
  6. Step 6: Final answer
    x = 3,410.95

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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.