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Finding the Fourth Proportional to 5,645.50, 7,790.82 and 3,161.50

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Solution

The fourth proportional to 5,645.50, 7,790.82 and 3,161.50 is: 4,362.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,645.50 : 7,790.82 = 3,161.50 : x
  2. Step 2: Convert to fraction form
    5,645.50/7,790.82 = 3,161.50/x
  3. Step 3: Cross multiply
    5,645.50x = 7,790.82 × 3,161.50
  4. Step 4: Simplify right side
    5,645.50x = 24,630,677.43
  5. Step 5: Solve for x
    x = 24,630,677.43/5,645.50
  6. Step 6: Final answer
    x = 4,362.89

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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.