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Finding the Fourth Proportional to 3,782.09, 5,673.14 and 1,008.62

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Solution

The fourth proportional to 3,782.09, 5,673.14 and 1,008.62 is: 1,512.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.09 : 5,673.14 = 1,008.62 : x
  2. Step 2: Convert to fraction form
    3,782.09/5,673.14 = 1,008.62/x
  3. Step 3: Cross multiply
    3,782.09x = 5,673.14 × 1,008.62
  4. Step 4: Simplify right side
    3,782.09x = 5,722,042.47
  5. Step 5: Solve for x
    x = 5,722,042.47/3,782.09
  6. Step 6: Final answer
    x = 1,512.93

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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.