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Finding the Fourth Proportional to 4,806.41, 7,214.11 and 2,961.14

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Solution

The fourth proportional to 4,806.41, 7,214.11 and 2,961.14 is: 4,444.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.41 : 7,214.11 = 2,961.14 : x
  2. Step 2: Convert to fraction form
    4,806.41/7,214.11 = 2,961.14/x
  3. Step 3: Cross multiply
    4,806.41x = 7,214.11 × 2,961.14
  4. Step 4: Simplify right side
    4,806.41x = 21,361,946.21
  5. Step 5: Solve for x
    x = 21,361,946.21/4,806.41
  6. Step 6: Final answer
    x = 4,444.47

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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.