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Finding the Fourth Proportional to 4,306.26, 5,930.90 and 3,716.58

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Solution

The fourth proportional to 4,306.26, 5,930.90 and 3,716.58 is: 5,118.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,306.26 : 5,930.90 = 3,716.58 : x
  2. Step 2: Convert to fraction form
    4,306.26/5,930.90 = 3,716.58/x
  3. Step 3: Cross multiply
    4,306.26x = 5,930.90 × 3,716.58
  4. Step 4: Simplify right side
    4,306.26x = 22,042,664.32
  5. Step 5: Solve for x
    x = 22,042,664.32/4,306.26
  6. Step 6: Final answer
    x = 5,118.75

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.