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Finding the Fourth Proportional to 4,636.26, 6,957.09 and 1,716.57

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Solution

The fourth proportional to 4,636.26, 6,957.09 and 1,716.57 is: 2,575.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,636.26 : 6,957.09 = 1,716.57 : x
  2. Step 2: Convert to fraction form
    4,636.26/6,957.09 = 1,716.57/x
  3. Step 3: Cross multiply
    4,636.26x = 6,957.09 × 1,716.57
  4. Step 4: Simplify right side
    4,636.26x = 11,942,331.98
  5. Step 5: Solve for x
    x = 11,942,331.98/4,636.26
  6. Step 6: Final answer
    x = 2,575.85

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.