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Finding the Fourth Proportional to 5,459.54, 8,189.26 and 1,563.96

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Solution

The fourth proportional to 5,459.54, 8,189.26 and 1,563.96 is: 2,345.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.54 : 8,189.26 = 1,563.96 : x
  2. Step 2: Convert to fraction form
    5,459.54/8,189.26 = 1,563.96/x
  3. Step 3: Cross multiply
    5,459.54x = 8,189.26 × 1,563.96
  4. Step 4: Simplify right side
    5,459.54x = 12,807,675.07
  5. Step 5: Solve for x
    x = 12,807,675.07/5,459.54
  6. Step 6: Final answer
    x = 2,345.93

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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.