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Finding the Fourth Proportional to 3,924.56, 5,889.14 and 1,461.09

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Solution

The fourth proportional to 3,924.56, 5,889.14 and 1,461.09 is: 2,192.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,924.56 : 5,889.14 = 1,461.09 : x
  2. Step 2: Convert to fraction form
    3,924.56/5,889.14 = 1,461.09/x
  3. Step 3: Cross multiply
    3,924.56x = 5,889.14 × 1,461.09
  4. Step 4: Simplify right side
    3,924.56x = 8,604,556.26
  5. Step 5: Solve for x
    x = 8,604,556.26/3,924.56
  6. Step 6: Final answer
    x = 2,192.49

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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.