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Finding the Fourth Proportional to 3,682.58, 5,523.90 and 1,085.51

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Solution

The fourth proportional to 3,682.58, 5,523.90 and 1,085.51 is: 1,628.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.58 : 5,523.90 = 1,085.51 : x
  2. Step 2: Convert to fraction form
    3,682.58/5,523.90 = 1,085.51/x
  3. Step 3: Cross multiply
    3,682.58x = 5,523.90 × 1,085.51
  4. Step 4: Simplify right side
    3,682.58x = 5,996,221.07
  5. Step 5: Solve for x
    x = 5,996,221.07/3,682.58
  6. Step 6: Final answer
    x = 1,628.27

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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.