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Finding the Fourth Proportional to 5,631.09, 7,770.68 and 3,113.03

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Solution

The fourth proportional to 5,631.09, 7,770.68 and 3,113.03 is: 4,295.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,631.09 : 7,770.68 = 3,113.03 : x
  2. Step 2: Convert to fraction form
    5,631.09/7,770.68 = 3,113.03/x
  3. Step 3: Cross multiply
    5,631.09x = 7,770.68 × 3,113.03
  4. Step 4: Simplify right side
    5,631.09x = 24,190,375.50
  5. Step 5: Solve for x
    x = 24,190,375.50/5,631.09
  6. Step 6: Final answer
    x = 4,295.86

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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.