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Finding the Fourth Proportional to 3,926.17, 5,412.84 and 3,364.21

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Solution

The fourth proportional to 3,926.17, 5,412.84 and 3,364.21 is: 4,638.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,926.17 : 5,412.84 = 3,364.21 : x
  2. Step 2: Convert to fraction form
    3,926.17/5,412.84 = 3,364.21/x
  3. Step 3: Cross multiply
    3,926.17x = 5,412.84 × 3,364.21
  4. Step 4: Simplify right side
    3,926.17x = 18,209,903.39
  5. Step 5: Solve for x
    x = 18,209,903.39/3,926.17
  6. Step 6: Final answer
    x = 4,638.09

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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.