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Finding the Fourth Proportional to 3,563.12, 5,344.20 and 1,097.89

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Solution

The fourth proportional to 3,563.12, 5,344.20 and 1,097.89 is: 1,646.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.12 : 5,344.20 = 1,097.89 : x
  2. Step 2: Convert to fraction form
    3,563.12/5,344.20 = 1,097.89/x
  3. Step 3: Cross multiply
    3,563.12x = 5,344.20 × 1,097.89
  4. Step 4: Simplify right side
    3,563.12x = 5,867,317.02
  5. Step 5: Solve for x
    x = 5,867,317.02/3,563.12
  6. Step 6: Final answer
    x = 1,646.68

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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.