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Finding the Fourth Proportional to 3,238.64, 4,857.96 and 1,047.58

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Solution

The fourth proportional to 3,238.64, 4,857.96 and 1,047.58 is: 1,571.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,238.64 : 4,857.96 = 1,047.58 : x
  2. Step 2: Convert to fraction form
    3,238.64/4,857.96 = 1,047.58/x
  3. Step 3: Cross multiply
    3,238.64x = 4,857.96 × 1,047.58
  4. Step 4: Simplify right side
    3,238.64x = 5,089,101.74
  5. Step 5: Solve for x
    x = 5,089,101.74/3,238.64
  6. Step 6: Final answer
    x = 1,571.37

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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.