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Finding the Fourth Proportional to 4,196.34, 6,294.11 and 1,274.67

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Solution

The fourth proportional to 4,196.34, 6,294.11 and 1,274.67 is: 1,911.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,196.34 : 6,294.11 = 1,274.67 : x
  2. Step 2: Convert to fraction form
    4,196.34/6,294.11 = 1,274.67/x
  3. Step 3: Cross multiply
    4,196.34x = 6,294.11 × 1,274.67
  4. Step 4: Simplify right side
    4,196.34x = 8,022,913.19
  5. Step 5: Solve for x
    x = 8,022,913.19/4,196.34
  6. Step 6: Final answer
    x = 1,911.88

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.