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Finding the Fourth Proportional to 4,906.91, 7,359.30 and 1,619.22

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Solution

The fourth proportional to 4,906.91, 7,359.30 and 1,619.22 is: 2,428.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,906.91 : 7,359.30 = 1,619.22 : x
  2. Step 2: Convert to fraction form
    4,906.91/7,359.30 = 1,619.22/x
  3. Step 3: Cross multiply
    4,906.91x = 7,359.30 × 1,619.22
  4. Step 4: Simplify right side
    4,906.91x = 11,916,325.75
  5. Step 5: Solve for x
    x = 11,916,325.75/4,906.91
  6. Step 6: Final answer
    x = 2,428.48

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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.