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Finding the Fourth Proportional to 4,493.97, 6,739.65 and 1,720.43

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Solution

The fourth proportional to 4,493.97, 6,739.65 and 1,720.43 is: 2,580.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,493.97 : 6,739.65 = 1,720.43 : x
  2. Step 2: Convert to fraction form
    4,493.97/6,739.65 = 1,720.43/x
  3. Step 3: Cross multiply
    4,493.97x = 6,739.65 × 1,720.43
  4. Step 4: Simplify right side
    4,493.97x = 11,595,087.62
  5. Step 5: Solve for x
    x = 11,595,087.62/4,493.97
  6. Step 6: Final answer
    x = 2,580.14

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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.