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Finding the Fourth Proportional to 3,643.69, 5,466.68 and 2,770.37

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Solution

The fourth proportional to 3,643.69, 5,466.68 and 2,770.37 is: 4,156.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,643.69 : 5,466.68 = 2,770.37 : x
  2. Step 2: Convert to fraction form
    3,643.69/5,466.68 = 2,770.37/x
  3. Step 3: Cross multiply
    3,643.69x = 5,466.68 × 2,770.37
  4. Step 4: Simplify right side
    3,643.69x = 15,144,741.14
  5. Step 5: Solve for x
    x = 15,144,741.14/3,643.69
  6. Step 6: Final answer
    x = 4,156.43

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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.