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Finding the Fourth Proportional to 3,605.82, 4,975.26 and 2,190.24

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Solution

The fourth proportional to 3,605.82, 4,975.26 and 2,190.24 is: 3,022.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,605.82 : 4,975.26 = 2,190.24 : x
  2. Step 2: Convert to fraction form
    3,605.82/4,975.26 = 2,190.24/x
  3. Step 3: Cross multiply
    3,605.82x = 4,975.26 × 2,190.24
  4. Step 4: Simplify right side
    3,605.82x = 10,897,013.46
  5. Step 5: Solve for x
    x = 10,897,013.46/3,605.82
  6. Step 6: Final answer
    x = 3,022.06

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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.