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Finding the Fourth Proportional to 3,954.27, 5,926.44 and 3,459.51

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Solution

The fourth proportional to 3,954.27, 5,926.44 and 3,459.51 is: 5,184.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,954.27 : 5,926.44 = 3,459.51 : x
  2. Step 2: Convert to fraction form
    3,954.27/5,926.44 = 3,459.51/x
  3. Step 3: Cross multiply
    3,954.27x = 5,926.44 × 3,459.51
  4. Step 4: Simplify right side
    3,954.27x = 20,502,578.44
  5. Step 5: Solve for x
    x = 20,502,578.44/3,954.27
  6. Step 6: Final answer
    x = 5,184.92

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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.