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Finding the Fourth Proportional to 3,758.22, 5,185.93 and 2,079.36

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Solution

The fourth proportional to 3,758.22, 5,185.93 and 2,079.36 is: 2,869.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,758.22 : 5,185.93 = 2,079.36 : x
  2. Step 2: Convert to fraction form
    3,758.22/5,185.93 = 2,079.36/x
  3. Step 3: Cross multiply
    3,758.22x = 5,185.93 × 2,079.36
  4. Step 4: Simplify right side
    3,758.22x = 10,783,415.40
  5. Step 5: Solve for x
    x = 10,783,415.40/3,758.22
  6. Step 6: Final answer
    x = 2,869.29

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.