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Finding the Fourth Proportional to 3,770.09, 5,658.55 and 2,016.58

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Solution

The fourth proportional to 3,770.09, 5,658.55 and 2,016.58 is: 3,026.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,770.09 : 5,658.55 = 2,016.58 : x
  2. Step 2: Convert to fraction form
    3,770.09/5,658.55 = 2,016.58/x
  3. Step 3: Cross multiply
    3,770.09x = 5,658.55 × 2,016.58
  4. Step 4: Simplify right side
    3,770.09x = 11,410,915.85
  5. Step 5: Solve for x
    x = 11,410,915.85/3,770.09
  6. Step 6: Final answer
    x = 3,026.69

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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.