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Finding the Fourth Proportional to 3,782.49, 5,671.94 and 1,317.01

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Solution

The fourth proportional to 3,782.49, 5,671.94 and 1,317.01 is: 1,974.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,782.49 : 5,671.94 = 1,317.01 : x
  2. Step 2: Convert to fraction form
    3,782.49/5,671.94 = 1,317.01/x
  3. Step 3: Cross multiply
    3,782.49x = 5,671.94 × 1,317.01
  4. Step 4: Simplify right side
    3,782.49x = 7,469,980.93
  5. Step 5: Solve for x
    x = 7,469,980.93/3,782.49
  6. Step 6: Final answer
    x = 1,974.88

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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.