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Finding the Fourth Proportional to 3,563.17, 4,918.54 and 3,189.49

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Solution

The fourth proportional to 3,563.17, 4,918.54 and 3,189.49 is: 4,402.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.17 : 4,918.54 = 3,189.49 : x
  2. Step 2: Convert to fraction form
    3,563.17/4,918.54 = 3,189.49/x
  3. Step 3: Cross multiply
    3,563.17x = 4,918.54 × 3,189.49
  4. Step 4: Simplify right side
    3,563.17x = 15,687,609.55
  5. Step 5: Solve for x
    x = 15,687,609.55/3,563.17
  6. Step 6: Final answer
    x = 4,402.72

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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.