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Finding the Fourth Proportional to 3,609.84, 5,415.53 and 1,144.34

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Solution

The fourth proportional to 3,609.84, 5,415.53 and 1,144.34 is: 1,716.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,609.84 : 5,415.53 = 1,144.34 : x
  2. Step 2: Convert to fraction form
    3,609.84/5,415.53 = 1,144.34/x
  3. Step 3: Cross multiply
    3,609.84x = 5,415.53 × 1,144.34
  4. Step 4: Simplify right side
    3,609.84x = 6,197,174.80
  5. Step 5: Solve for x
    x = 6,197,174.80/3,609.84
  6. Step 6: Final answer
    x = 1,716.75

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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.