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Finding the Fourth Proportional to 5,655.12, 8,481.74 and 1,759.22

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Solution

The fourth proportional to 5,655.12, 8,481.74 and 1,759.22 is: 2,638.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,655.12 : 8,481.74 = 1,759.22 : x
  2. Step 2: Convert to fraction form
    5,655.12/8,481.74 = 1,759.22/x
  3. Step 3: Cross multiply
    5,655.12x = 8,481.74 × 1,759.22
  4. Step 4: Simplify right side
    5,655.12x = 14,921,259.05
  5. Step 5: Solve for x
    x = 14,921,259.05/5,655.12
  6. Step 6: Final answer
    x = 2,638.54

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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.