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Finding the Fourth Proportional to 5,182.06, 7,770.08 and 3,540.60

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Solution

The fourth proportional to 5,182.06, 7,770.08 and 3,540.60 is: 5,308.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,182.06 : 7,770.08 = 3,540.60 : x
  2. Step 2: Convert to fraction form
    5,182.06/7,770.08 = 3,540.60/x
  3. Step 3: Cross multiply
    5,182.06x = 7,770.08 × 3,540.60
  4. Step 4: Simplify right side
    5,182.06x = 27,510,745.25
  5. Step 5: Solve for x
    x = 27,510,745.25/5,182.06
  6. Step 6: Final answer
    x = 5,308.84

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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.