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Finding the Fourth Proportional to 5,630.69, 7,770.32 and 3,112.98

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Solution

The fourth proportional to 5,630.69, 7,770.32 and 3,112.98 is: 4,295.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,630.69 : 7,770.32 = 3,112.98 : x
  2. Step 2: Convert to fraction form
    5,630.69/7,770.32 = 3,112.98/x
  3. Step 3: Cross multiply
    5,630.69x = 7,770.32 × 3,112.98
  4. Step 4: Simplify right side
    5,630.69x = 24,188,850.75
  5. Step 5: Solve for x
    x = 24,188,850.75/5,630.69
  6. Step 6: Final answer
    x = 4,295.89

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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.