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Finding the Fourth Proportional to 3,676.58, 5,074.48 and 2,261.48

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Solution

The fourth proportional to 3,676.58, 5,074.48 and 2,261.48 is: 3,121.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.58 : 5,074.48 = 2,261.48 : x
  2. Step 2: Convert to fraction form
    3,676.58/5,074.48 = 2,261.48/x
  3. Step 3: Cross multiply
    3,676.58x = 5,074.48 × 2,261.48
  4. Step 4: Simplify right side
    3,676.58x = 11,475,835.03
  5. Step 5: Solve for x
    x = 11,475,835.03/3,676.58
  6. Step 6: Final answer
    x = 3,121.33

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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.