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Finding the Fourth Proportional to 6,770.40, 10,159.43 and 3,650.33

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Solution

The fourth proportional to 6,770.40, 10,159.43 and 3,650.33 is: 5,477.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,770.40 : 10,159.43 = 3,650.33 : x
  2. Step 2: Convert to fraction form
    6,770.40/10,159.43 = 3,650.33/x
  3. Step 3: Cross multiply
    6,770.40x = 10,159.43 × 3,650.33
  4. Step 4: Simplify right side
    6,770.40x = 37,085,279.26
  5. Step 5: Solve for x
    x = 37,085,279.26/6,770.40
  6. Step 6: Final answer
    x = 5,477.56

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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.