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Finding the Fourth Proportional to 3,918.38, 5,402.50 and 3,209.36

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Solution

The fourth proportional to 3,918.38, 5,402.50 and 3,209.36 is: 4,424.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,918.38 : 5,402.50 = 3,209.36 : x
  2. Step 2: Convert to fraction form
    3,918.38/5,402.50 = 3,209.36/x
  3. Step 3: Cross multiply
    3,918.38x = 5,402.50 × 3,209.36
  4. Step 4: Simplify right side
    3,918.38x = 17,338,532.36
  5. Step 5: Solve for x
    x = 17,338,532.36/3,918.38
  6. Step 6: Final answer
    x = 4,424.93

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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.