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Finding the Fourth Proportional to 3,077.27, 4,616.12 and 886.02

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Solution

The fourth proportional to 3,077.27, 4,616.12 and 886.02 is: 1,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,077.27 : 4,616.12 = 886.02 : x
  2. Step 2: Convert to fraction form
    3,077.27/4,616.12 = 886.02/x
  3. Step 3: Cross multiply
    3,077.27x = 4,616.12 × 886.02
  4. Step 4: Simplify right side
    3,077.27x = 4,089,974.64
  5. Step 5: Solve for x
    x = 4,089,974.64/3,077.27
  6. Step 6: Final answer
    x = 1,329.09

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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.