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Finding the Fourth Proportional to 5,484.49, 8,230.08 and 2,563

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Solution

The fourth proportional to 5,484.49, 8,230.08 and 2,563 is: 3,846.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,484.49 : 8,230.08 = 2,563 : x
  2. Step 2: Convert to fraction form
    5,484.49/8,230.08 = 2,563/x
  3. Step 3: Cross multiply
    5,484.49x = 8,230.08 × 2,563
  4. Step 4: Simplify right side
    5,484.49x = 21,093,695.04
  5. Step 5: Solve for x
    x = 21,093,695.04/5,484.49
  6. Step 6: Final answer
    x = 3,846.06

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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.