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Finding the Fourth Proportional to 3,563.31, 4,919.69 and 3,189.65

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Solution

The fourth proportional to 3,563.31, 4,919.69 and 3,189.65 is: 4,403.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.31 : 4,919.69 = 3,189.65 : x
  2. Step 2: Convert to fraction form
    3,563.31/4,919.69 = 3,189.65/x
  3. Step 3: Cross multiply
    3,563.31x = 4,919.69 × 3,189.65
  4. Step 4: Simplify right side
    3,563.31x = 15,692,089.21
  5. Step 5: Solve for x
    x = 15,692,089.21/3,563.31
  6. Step 6: Final answer
    x = 4,403.80

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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.