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Finding the Fourth Proportional to 3,968.66, 5,953.18 and 3,274.04

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Solution

The fourth proportional to 3,968.66, 5,953.18 and 3,274.04 is: 4,911.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.66 : 5,953.18 = 3,274.04 : x
  2. Step 2: Convert to fraction form
    3,968.66/5,953.18 = 3,274.04/x
  3. Step 3: Cross multiply
    3,968.66x = 5,953.18 × 3,274.04
  4. Step 4: Simplify right side
    3,968.66x = 19,490,956.15
  5. Step 5: Solve for x
    x = 19,490,956.15/3,968.66
  6. Step 6: Final answer
    x = 4,911.22

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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.