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Finding the Fourth Proportional to 3,523.72, 4,857.56 and 2,682.96

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Solution

The fourth proportional to 3,523.72, 4,857.56 and 2,682.96 is: 3,698.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,523.72 : 4,857.56 = 2,682.96 : x
  2. Step 2: Convert to fraction form
    3,523.72/4,857.56 = 2,682.96/x
  3. Step 3: Cross multiply
    3,523.72x = 4,857.56 × 2,682.96
  4. Step 4: Simplify right side
    3,523.72x = 13,032,625.76
  5. Step 5: Solve for x
    x = 13,032,625.76/3,523.72
  6. Step 6: Final answer
    x = 3,698.54

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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.