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Finding the Fourth Proportional to 3,680.96, 5,525.37 and 1,491.12

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Solution

The fourth proportional to 3,680.96, 5,525.37 and 1,491.12 is: 2,238.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.96 : 5,525.37 = 1,491.12 : x
  2. Step 2: Convert to fraction form
    3,680.96/5,525.37 = 1,491.12/x
  3. Step 3: Cross multiply
    3,680.96x = 5,525.37 × 1,491.12
  4. Step 4: Simplify right side
    3,680.96x = 8,238,989.71
  5. Step 5: Solve for x
    x = 8,238,989.71/3,680.96
  6. Step 6: Final answer
    x = 2,238.27

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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.