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Finding the Fourth Proportional to 3,632.48, 5,449.26 and 1,684.88

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Solution

The fourth proportional to 3,632.48, 5,449.26 and 1,684.88 is: 2,527.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.48 : 5,449.26 = 1,684.88 : x
  2. Step 2: Convert to fraction form
    3,632.48/5,449.26 = 1,684.88/x
  3. Step 3: Cross multiply
    3,632.48x = 5,449.26 × 1,684.88
  4. Step 4: Simplify right side
    3,632.48x = 9,181,349.19
  5. Step 5: Solve for x
    x = 9,181,349.19/3,632.48
  6. Step 6: Final answer
    x = 2,527.57

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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.