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Finding the Fourth Proportional to 3,781.46, 5,671.83 and 1,316.18

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Solution

The fourth proportional to 3,781.46, 5,671.83 and 1,316.18 is: 1,974.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,781.46 : 5,671.83 = 1,316.18 : x
  2. Step 2: Convert to fraction form
    3,781.46/5,671.83 = 1,316.18/x
  3. Step 3: Cross multiply
    3,781.46x = 5,671.83 × 1,316.18
  4. Step 4: Simplify right side
    3,781.46x = 7,465,149.21
  5. Step 5: Solve for x
    x = 7,465,149.21/3,781.46
  6. Step 6: Final answer
    x = 1,974.14

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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.