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Finding the Fourth Proportional to 4,259.72, 5,840.05 and 4,181.96

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Solution

The fourth proportional to 4,259.72, 5,840.05 and 4,181.96 is: 5,733.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,259.72 : 5,840.05 = 4,181.96 : x
  2. Step 2: Convert to fraction form
    4,259.72/5,840.05 = 4,181.96/x
  3. Step 3: Cross multiply
    4,259.72x = 5,840.05 × 4,181.96
  4. Step 4: Simplify right side
    4,259.72x = 24,422,855.50
  5. Step 5: Solve for x
    x = 24,422,855.50/4,259.72
  6. Step 6: Final answer
    x = 5,733.44

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These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.