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Finding the Fourth Proportional to 3,781.68, 5,673.78 and 1,317.12

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Solution

The fourth proportional to 3,781.68, 5,673.78 and 1,317.12 is: 1,976.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.68 : 5,673.78 = 1,317.12 : x
  2. Step 2: Convert to fraction form
    3,781.68/5,673.78 = 1,317.12/x
  3. Step 3: Cross multiply
    3,781.68x = 5,673.78 × 1,317.12
  4. Step 4: Simplify right side
    3,781.68x = 7,473,049.11
  5. Step 5: Solve for x
    x = 7,473,049.11/3,781.68
  6. Step 6: Final answer
    x = 1,976.12

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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.