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Finding the Fourth Proportional to 4,176.06, 6,266.88 and 3,766.02

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Solution

The fourth proportional to 4,176.06, 6,266.88 and 3,766.02 is: 5,651.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,176.06 : 6,266.88 = 3,766.02 : x
  2. Step 2: Convert to fraction form
    4,176.06/6,266.88 = 3,766.02/x
  3. Step 3: Cross multiply
    4,176.06x = 6,266.88 × 3,766.02
  4. Step 4: Simplify right side
    4,176.06x = 23,601,195.42
  5. Step 5: Solve for x
    x = 23,601,195.42/4,176.06
  6. Step 6: Final answer
    x = 5,651.55

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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.