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Finding the Fourth Proportional to 4,495.68, 6,723.81 and 2,735.82

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Solution

The fourth proportional to 4,495.68, 6,723.81 and 2,735.82 is: 4,091.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,495.68 : 6,723.81 = 2,735.82 : x
  2. Step 2: Convert to fraction form
    4,495.68/6,723.81 = 2,735.82/x
  3. Step 3: Cross multiply
    4,495.68x = 6,723.81 × 2,735.82
  4. Step 4: Simplify right side
    4,495.68x = 18,395,133.87
  5. Step 5: Solve for x
    x = 18,395,133.87/4,495.68
  6. Step 6: Final answer
    x = 4,091.74

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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.