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Finding the Fourth Proportional to 5,163.89, 7,729.43 and 4,070.39

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Solution

The fourth proportional to 5,163.89, 7,729.43 and 4,070.39 is: 6,092.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,163.89 : 7,729.43 = 4,070.39 : x
  2. Step 2: Convert to fraction form
    5,163.89/7,729.43 = 4,070.39/x
  3. Step 3: Cross multiply
    5,163.89x = 7,729.43 × 4,070.39
  4. Step 4: Simplify right side
    5,163.89x = 31,461,735.58
  5. Step 5: Solve for x
    x = 31,461,735.58/5,163.89
  6. Step 6: Final answer
    x = 6,092.65

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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.