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Finding the Fourth Proportional to 3,642.99, 5,464.67 and 1,563.27

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Solution

The fourth proportional to 3,642.99, 5,464.67 and 1,563.27 is: 2,344.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.99 : 5,464.67 = 1,563.27 : x
  2. Step 2: Convert to fraction form
    3,642.99/5,464.67 = 1,563.27/x
  3. Step 3: Cross multiply
    3,642.99x = 5,464.67 × 1,563.27
  4. Step 4: Simplify right side
    3,642.99x = 8,542,746.85
  5. Step 5: Solve for x
    x = 8,542,746.85/3,642.99
  6. Step 6: Final answer
    x = 2,344.98

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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.