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Finding the Fourth Proportional to 3,563.67, 5,346.33 and 1,098.44

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Solution

The fourth proportional to 3,563.67, 5,346.33 and 1,098.44 is: 1,647.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,563.67 : 5,346.33 = 1,098.44 : x
  2. Step 2: Convert to fraction form
    3,563.67/5,346.33 = 1,098.44/x
  3. Step 3: Cross multiply
    3,563.67x = 5,346.33 × 1,098.44
  4. Step 4: Simplify right side
    3,563.67x = 5,872,595.99
  5. Step 5: Solve for x
    x = 5,872,595.99/3,563.67
  6. Step 6: Final answer
    x = 1,647.91

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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.