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Finding the Fourth Proportional to 5,963.17, 8,229.32 and 3,274.51

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Solution

The fourth proportional to 5,963.17, 8,229.32 and 3,274.51 is: 4,518.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,963.17 : 8,229.32 = 3,274.51 : x
  2. Step 2: Convert to fraction form
    5,963.17/8,229.32 = 3,274.51/x
  3. Step 3: Cross multiply
    5,963.17x = 8,229.32 × 3,274.51
  4. Step 4: Simplify right side
    5,963.17x = 26,946,990.63
  5. Step 5: Solve for x
    x = 26,946,990.63/5,963.17
  6. Step 6: Final answer
    x = 4,518.90

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.