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Finding the Fourth Proportional to 5,458.69, 8,188.34 and 5,163.45

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Solution

The fourth proportional to 5,458.69, 8,188.34 and 5,163.45 is: 7,745.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,458.69 : 8,188.34 = 5,163.45 : x
  2. Step 2: Convert to fraction form
    5,458.69/8,188.34 = 5,163.45/x
  3. Step 3: Cross multiply
    5,458.69x = 8,188.34 × 5,163.45
  4. Step 4: Simplify right side
    5,458.69x = 42,280,056.69
  5. Step 5: Solve for x
    x = 42,280,056.69/5,458.69
  6. Step 6: Final answer
    x = 7,745.46

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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.