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Finding the Fourth Proportional to 3,847.63, 5,772.53 and 1,251.31

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Solution

The fourth proportional to 3,847.63, 5,772.53 and 1,251.31 is: 1,877.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,847.63 : 5,772.53 = 1,251.31 : x
  2. Step 2: Convert to fraction form
    3,847.63/5,772.53 = 1,251.31/x
  3. Step 3: Cross multiply
    3,847.63x = 5,772.53 × 1,251.31
  4. Step 4: Simplify right side
    3,847.63x = 7,223,224.51
  5. Step 5: Solve for x
    x = 7,223,224.51/3,847.63
  6. Step 6: Final answer
    x = 1,877.32

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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.