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Finding the Fourth Proportional to 3,196.76, 4,407.09 and 2,486.39

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Solution

The fourth proportional to 3,196.76, 4,407.09 and 2,486.39 is: 3,427.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,196.76 : 4,407.09 = 2,486.39 : x
  2. Step 2: Convert to fraction form
    3,196.76/4,407.09 = 2,486.39/x
  3. Step 3: Cross multiply
    3,196.76x = 4,407.09 × 2,486.39
  4. Step 4: Simplify right side
    3,196.76x = 10,957,744.51
  5. Step 5: Solve for x
    x = 10,957,744.51/3,196.76
  6. Step 6: Final answer
    x = 3,427.77

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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.