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Finding the Fourth Proportional to 3,946.56, 5,446.64 and 2,950.11

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Solution

The fourth proportional to 3,946.56, 5,446.64 and 2,950.11 is: 4,071.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,946.56 : 5,446.64 = 2,950.11 : x
  2. Step 2: Convert to fraction form
    3,946.56/5,446.64 = 2,950.11/x
  3. Step 3: Cross multiply
    3,946.56x = 5,446.64 × 2,950.11
  4. Step 4: Simplify right side
    3,946.56x = 16,068,172.38
  5. Step 5: Solve for x
    x = 16,068,172.38/3,946.56
  6. Step 6: Final answer
    x = 4,071.44

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Why These Related Problems?

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