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Finding the Fourth Proportional to 4,114.40, 6,171.60 and 3,077.60

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Solution

The fourth proportional to 4,114.40, 6,171.60 and 3,077.60 is: 4,616.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,114.40 : 6,171.60 = 3,077.60 : x
  2. Step 2: Convert to fraction form
    4,114.40/6,171.60 = 3,077.60/x
  3. Step 3: Cross multiply
    4,114.40x = 6,171.60 × 3,077.60
  4. Step 4: Simplify right side
    4,114.40x = 18,993,716.16
  5. Step 5: Solve for x
    x = 18,993,716.16/4,114.40
  6. Step 6: Final answer
    x = 4,616.40

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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.