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Finding the Fourth Proportional to 4,973.27, 6,826.41 and 4,759.43

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Solution

The fourth proportional to 4,973.27, 6,826.41 and 4,759.43 is: 6,532.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,973.27 : 6,826.41 = 4,759.43 : x
  2. Step 2: Convert to fraction form
    4,973.27/6,826.41 = 4,759.43/x
  3. Step 3: Cross multiply
    4,973.27x = 6,826.41 × 4,759.43
  4. Step 4: Simplify right side
    4,973.27x = 32,489,786.41
  5. Step 5: Solve for x
    x = 32,489,786.41/4,973.27
  6. Step 6: Final answer
    x = 6,532.89

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.