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Finding the Fourth Proportional to 3,609.68, 5,415.08 and 1,144.26

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Solution

The fourth proportional to 3,609.68, 5,415.08 and 1,144.26 is: 1,716.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.68 : 5,415.08 = 1,144.26 : x
  2. Step 2: Convert to fraction form
    3,609.68/5,415.08 = 1,144.26/x
  3. Step 3: Cross multiply
    3,609.68x = 5,415.08 × 1,144.26
  4. Step 4: Simplify right side
    3,609.68x = 6,196,253.72
  5. Step 5: Solve for x
    x = 6,196,253.72/3,609.68
  6. Step 6: Final answer
    x = 1,716.57

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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.