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Finding the Fourth Proportional to 4,505.54, 6,741.86 and 2,744.12

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Solution

The fourth proportional to 4,505.54, 6,741.86 and 2,744.12 is: 4,106.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,505.54 : 6,741.86 = 2,744.12 : x
  2. Step 2: Convert to fraction form
    4,505.54/6,741.86 = 2,744.12/x
  3. Step 3: Cross multiply
    4,505.54x = 6,741.86 × 2,744.12
  4. Step 4: Simplify right side
    4,505.54x = 18,500,425.43
  5. Step 5: Solve for x
    x = 18,500,425.43/4,505.54
  6. Step 6: Final answer
    x = 4,106.16

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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.