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Finding the Fourth Proportional to 3,682.34, 5,525.81 and 1,491.06

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Solution

The fourth proportional to 3,682.34, 5,525.81 and 1,491.06 is: 2,237.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,682.34 : 5,525.81 = 1,491.06 : x
  2. Step 2: Convert to fraction form
    3,682.34/5,525.81 = 1,491.06/x
  3. Step 3: Cross multiply
    3,682.34x = 5,525.81 × 1,491.06
  4. Step 4: Simplify right side
    3,682.34x = 8,239,314.26
  5. Step 5: Solve for x
    x = 8,239,314.26/3,682.34
  6. Step 6: Final answer
    x = 2,237.52

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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.