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Finding the Fourth Proportional to 5,459.94, 8,189.92 and 1,563.44

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Solution

The fourth proportional to 5,459.94, 8,189.92 and 1,563.44 is: 2,345.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,459.94 : 8,189.92 = 1,563.44 : x
  2. Step 2: Convert to fraction form
    5,459.94/8,189.92 = 1,563.44/x
  3. Step 3: Cross multiply
    5,459.94x = 8,189.92 × 1,563.44
  4. Step 4: Simplify right side
    5,459.94x = 12,804,403.67
  5. Step 5: Solve for x
    x = 12,804,403.67/5,459.94
  6. Step 6: Final answer
    x = 2,345.15

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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.