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Finding the Fourth Proportional to 3,513.84, 5,270.57 and 1,782.42

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Solution

The fourth proportional to 3,513.84, 5,270.57 and 1,782.42 is: 2,673.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.84 : 5,270.57 = 1,782.42 : x
  2. Step 2: Convert to fraction form
    3,513.84/5,270.57 = 1,782.42/x
  3. Step 3: Cross multiply
    3,513.84x = 5,270.57 × 1,782.42
  4. Step 4: Simplify right side
    3,513.84x = 9,394,369.38
  5. Step 5: Solve for x
    x = 9,394,369.38/3,513.84
  6. Step 6: Final answer
    x = 2,673.53

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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.