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Finding the Fourth Proportional to 3,809.52, 5,257.98 and 2,412

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Solution

The fourth proportional to 3,809.52, 5,257.98 and 2,412 is: 3,329.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,809.52 : 5,257.98 = 2,412 : x
  2. Step 2: Convert to fraction form
    3,809.52/5,257.98 = 2,412/x
  3. Step 3: Cross multiply
    3,809.52x = 5,257.98 × 2,412
  4. Step 4: Simplify right side
    3,809.52x = 12,682,247.76
  5. Step 5: Solve for x
    x = 12,682,247.76/3,809.52
  6. Step 6: Final answer
    x = 3,329.09

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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.