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Finding the Fourth Proportional to 3,781.47, 5,673.17 and 1,316.33

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Solution

The fourth proportional to 3,781.47, 5,673.17 and 1,316.33 is: 1,974.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.47 : 5,673.17 = 1,316.33 : x
  2. Step 2: Convert to fraction form
    3,781.47/5,673.17 = 1,316.33/x
  3. Step 3: Cross multiply
    3,781.47x = 5,673.17 × 1,316.33
  4. Step 4: Simplify right side
    3,781.47x = 7,467,763.87
  5. Step 5: Solve for x
    x = 7,467,763.87/3,781.47
  6. Step 6: Final answer
    x = 1,974.83

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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.