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Finding the Fourth Proportional to 3,783.19, 5,669.44 and 1,807.23

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Solution

The fourth proportional to 3,783.19, 5,669.44 and 1,807.23 is: 2,708.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,783.19 : 5,669.44 = 1,807.23 : x
  2. Step 2: Convert to fraction form
    3,783.19/5,669.44 = 1,807.23/x
  3. Step 3: Cross multiply
    3,783.19x = 5,669.44 × 1,807.23
  4. Step 4: Simplify right side
    3,783.19x = 10,245,982.05
  5. Step 5: Solve for x
    x = 10,245,982.05/3,783.19
  6. Step 6: Final answer
    x = 2,708.29

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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.