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Finding the Fourth Proportional to 4,069.24, 6,101.06 and 1,728.68

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Solution

The fourth proportional to 4,069.24, 6,101.06 and 1,728.68 is: 2,591.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,069.24 : 6,101.06 = 1,728.68 : x
  2. Step 2: Convert to fraction form
    4,069.24/6,101.06 = 1,728.68/x
  3. Step 3: Cross multiply
    4,069.24x = 6,101.06 × 1,728.68
  4. Step 4: Simplify right side
    4,069.24x = 10,546,741.25
  5. Step 5: Solve for x
    x = 10,546,741.25/4,069.24
  6. Step 6: Final answer
    x = 2,591.82

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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.