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Finding the Fourth Proportional to 5,459.25, 8,189.04 and 1,563.66

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Solution

The fourth proportional to 5,459.25, 8,189.04 and 1,563.66 is: 2,345.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.25 : 8,189.04 = 1,563.66 : x
  2. Step 2: Convert to fraction form
    5,459.25/8,189.04 = 1,563.66/x
  3. Step 3: Cross multiply
    5,459.25x = 8,189.04 × 1,563.66
  4. Step 4: Simplify right side
    5,459.25x = 12,804,874.29
  5. Step 5: Solve for x
    x = 12,804,874.29/5,459.25
  6. Step 6: Final answer
    x = 2,345.54

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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.