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Finding the Fourth Proportional to 3,563.67, 4,919.23 and 3,189.99

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Solution

The fourth proportional to 3,563.67, 4,919.23 and 3,189.99 is: 4,403.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.67 : 4,919.23 = 3,189.99 : x
  2. Step 2: Convert to fraction form
    3,563.67/4,919.23 = 3,189.99/x
  3. Step 3: Cross multiply
    3,563.67x = 4,919.23 × 3,189.99
  4. Step 4: Simplify right side
    3,563.67x = 15,692,294.51
  5. Step 5: Solve for x
    x = 15,692,294.51/3,563.67
  6. Step 6: Final answer
    x = 4,403.41

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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.