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Finding the Fourth Proportional to 3,645.34, 5,467.26 and 1,047.70

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Solution

The fourth proportional to 3,645.34, 5,467.26 and 1,047.70 is: 1,571.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,645.34 : 5,467.26 = 1,047.70 : x
  2. Step 2: Convert to fraction form
    3,645.34/5,467.26 = 1,047.70/x
  3. Step 3: Cross multiply
    3,645.34x = 5,467.26 × 1,047.70
  4. Step 4: Simplify right side
    3,645.34x = 5,728,048.30
  5. Step 5: Solve for x
    x = 5,728,048.30/3,645.34
  6. Step 6: Final answer
    x = 1,571.33

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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.