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Finding the Fourth Proportional to 3,563.39, 5,345.66 and 1,098.21

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Solution

The fourth proportional to 3,563.39, 5,345.66 and 1,098.21 is: 1,647.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.39 : 5,345.66 = 1,098.21 : x
  2. Step 2: Convert to fraction form
    3,563.39/5,345.66 = 1,098.21/x
  3. Step 3: Cross multiply
    3,563.39x = 5,345.66 × 1,098.21
  4. Step 4: Simplify right side
    3,563.39x = 5,870,625.05
  5. Step 5: Solve for x
    x = 5,870,625.05/3,563.39
  6. Step 6: Final answer
    x = 1,647.48

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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.