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Finding the Fourth Proportional to 4,903.97, 7,357.49 and 1,619.37

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Solution

The fourth proportional to 4,903.97, 7,357.49 and 1,619.37 is: 2,429.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,903.97 : 7,357.49 = 1,619.37 : x
  2. Step 2: Convert to fraction form
    4,903.97/7,357.49 = 1,619.37/x
  3. Step 3: Cross multiply
    4,903.97x = 7,357.49 × 1,619.37
  4. Step 4: Simplify right side
    4,903.97x = 11,914,466.94
  5. Step 5: Solve for x
    x = 11,914,466.94/4,903.97
  6. Step 6: Final answer
    x = 2,429.56

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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.