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Finding the Fourth Proportional to 3,513.51, 5,270.27 and 1,782.27

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Solution

The fourth proportional to 3,513.51, 5,270.27 and 1,782.27 is: 2,673.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,513.51 : 5,270.27 = 1,782.27 : x
  2. Step 2: Convert to fraction form
    3,513.51/5,270.27 = 1,782.27/x
  3. Step 3: Cross multiply
    3,513.51x = 5,270.27 × 1,782.27
  4. Step 4: Simplify right side
    3,513.51x = 9,393,035.20
  5. Step 5: Solve for x
    x = 9,393,035.20/3,513.51
  6. Step 6: Final answer
    x = 2,673.41

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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.