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Finding the Fourth Proportional to 5,905.78, 8,149.74 and 3,253

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Solution

The fourth proportional to 5,905.78, 8,149.74 and 3,253 is: 4,489.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,905.78 : 8,149.74 = 3,253 : x
  2. Step 2: Convert to fraction form
    5,905.78/8,149.74 = 3,253/x
  3. Step 3: Cross multiply
    5,905.78x = 8,149.74 × 3,253
  4. Step 4: Simplify right side
    5,905.78x = 26,511,104.22
  5. Step 5: Solve for x
    x = 26,511,104.22/5,905.78
  6. Step 6: Final answer
    x = 4,489.01

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.