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Finding the Fourth Proportional to 3,805.27, 5,241.51 and 2,684.24

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Solution

The fourth proportional to 3,805.27, 5,241.51 and 2,684.24 is: 3,697.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,805.27 : 5,241.51 = 2,684.24 : x
  2. Step 2: Convert to fraction form
    3,805.27/5,241.51 = 2,684.24/x
  3. Step 3: Cross multiply
    3,805.27x = 5,241.51 × 2,684.24
  4. Step 4: Simplify right side
    3,805.27x = 14,069,457.38
  5. Step 5: Solve for x
    x = 14,069,457.38/3,805.27
  6. Step 6: Final answer
    x = 3,697.36

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.