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Finding the Fourth Proportional to 4,741.56, 7,107.72 and 2,662.56

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Solution

The fourth proportional to 4,741.56, 7,107.72 and 2,662.56 is: 3,991.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,741.56 : 7,107.72 = 2,662.56 : x
  2. Step 2: Convert to fraction form
    4,741.56/7,107.72 = 2,662.56/x
  3. Step 3: Cross multiply
    4,741.56x = 7,107.72 × 2,662.56
  4. Step 4: Simplify right side
    4,741.56x = 18,924,730.96
  5. Step 5: Solve for x
    x = 18,924,730.96/4,741.56
  6. Step 6: Final answer
    x = 3,991.25

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.