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Finding the Fourth Proportional to 3,512.45, 5,269.44 and 1,047.47

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Solution

The fourth proportional to 3,512.45, 5,269.44 and 1,047.47 is: 1,571.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,512.45 : 5,269.44 = 1,047.47 : x
  2. Step 2: Convert to fraction form
    3,512.45/5,269.44 = 1,047.47/x
  3. Step 3: Cross multiply
    3,512.45x = 5,269.44 × 1,047.47
  4. Step 4: Simplify right side
    3,512.45x = 5,519,580.32
  5. Step 5: Solve for x
    x = 5,519,580.32/3,512.45
  6. Step 6: Final answer
    x = 1,571.43

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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.