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Finding the Fourth Proportional to 3,805.60, 5,245.44 and 2,546.20

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Solution

The fourth proportional to 3,805.60, 5,245.44 and 2,546.20 is: 3,509.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.60 : 5,245.44 = 2,546.20 : x
  2. Step 2: Convert to fraction form
    3,805.60/5,245.44 = 2,546.20/x
  3. Step 3: Cross multiply
    3,805.60x = 5,245.44 × 2,546.20
  4. Step 4: Simplify right side
    3,805.60x = 13,355,939.33
  5. Step 5: Solve for x
    x = 13,355,939.33/3,805.60
  6. Step 6: Final answer
    x = 3,509.55

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.