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Finding the Fourth Proportional to 4,100.56, 6,149.52 and 1,467.70

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Solution

The fourth proportional to 4,100.56, 6,149.52 and 1,467.70 is: 2,201.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,100.56 : 6,149.52 = 1,467.70 : x
  2. Step 2: Convert to fraction form
    4,100.56/6,149.52 = 1,467.70/x
  3. Step 3: Cross multiply
    4,100.56x = 6,149.52 × 1,467.70
  4. Step 4: Simplify right side
    4,100.56x = 9,025,635.13
  5. Step 5: Solve for x
    x = 9,025,635.13/4,100.56
  6. Step 6: Final answer
    x = 2,201.08

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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.