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Finding the Fourth Proportional to 3,682.71, 5,523.84 and 1,085.58

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Solution

The fourth proportional to 3,682.71, 5,523.84 and 1,085.58 is: 1,628.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.71 : 5,523.84 = 1,085.58 : x
  2. Step 2: Convert to fraction form
    3,682.71/5,523.84 = 1,085.58/x
  3. Step 3: Cross multiply
    3,682.71x = 5,523.84 × 1,085.58
  4. Step 4: Simplify right side
    3,682.71x = 5,996,570.23
  5. Step 5: Solve for x
    x = 5,996,570.23/3,682.71
  6. Step 6: Final answer
    x = 1,628.30

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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.