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Finding the Fourth Proportional to 3,593.69, 5,385.74 and 1,741.11

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Solution

The fourth proportional to 3,593.69, 5,385.74 and 1,741.11 is: 2,609.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,593.69 : 5,385.74 = 1,741.11 : x
  2. Step 2: Convert to fraction form
    3,593.69/5,385.74 = 1,741.11/x
  3. Step 3: Cross multiply
    3,593.69x = 5,385.74 × 1,741.11
  4. Step 4: Simplify right side
    3,593.69x = 9,377,157.07
  5. Step 5: Solve for x
    x = 9,377,157.07/3,593.69
  6. Step 6: Final answer
    x = 2,609.34

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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.