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Finding the Fourth Proportional to 5,459.49, 8,189.20 and 1,563.89

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Solution

The fourth proportional to 5,459.49, 8,189.20 and 1,563.89 is: 2,345.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.49 : 8,189.20 = 1,563.89 : x
  2. Step 2: Convert to fraction form
    5,459.49/8,189.20 = 1,563.89/x
  3. Step 3: Cross multiply
    5,459.49x = 8,189.20 × 1,563.89
  4. Step 4: Simplify right side
    5,459.49x = 12,807,007.99
  5. Step 5: Solve for x
    x = 12,807,007.99/5,459.49
  6. Step 6: Final answer
    x = 2,345.83

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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.