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Finding the Fourth Proportional to 5,163.58, 7,726.23 and 3,084.71

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Solution

The fourth proportional to 5,163.58, 7,726.23 and 3,084.71 is: 4,615.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.58 : 7,726.23 = 3,084.71 : x
  2. Step 2: Convert to fraction form
    5,163.58/7,726.23 = 3,084.71/x
  3. Step 3: Cross multiply
    5,163.58x = 7,726.23 × 3,084.71
  4. Step 4: Simplify right side
    5,163.58x = 23,833,198.26
  5. Step 5: Solve for x
    x = 23,833,198.26/5,163.58
  6. Step 6: Final answer
    x = 4,615.64

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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.