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Finding the Fourth Proportional to 3,939.54, 5,436.39 and 2,259.78

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Solution

The fourth proportional to 3,939.54, 5,436.39 and 2,259.78 is: 3,118.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,939.54 : 5,436.39 = 2,259.78 : x
  2. Step 2: Convert to fraction form
    3,939.54/5,436.39 = 2,259.78/x
  3. Step 3: Cross multiply
    3,939.54x = 5,436.39 × 2,259.78
  4. Step 4: Simplify right side
    3,939.54x = 12,285,045.39
  5. Step 5: Solve for x
    x = 12,285,045.39/3,939.54
  6. Step 6: Final answer
    x = 3,118.40

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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.