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Finding the Fourth Proportional to 3,668.84, 5,496.77 and 1,938.68

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Solution

The fourth proportional to 3,668.84, 5,496.77 and 1,938.68 is: 2,904.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668.84 : 5,496.77 = 1,938.68 : x
  2. Step 2: Convert to fraction form
    3,668.84/5,496.77 = 1,938.68/x
  3. Step 3: Cross multiply
    3,668.84x = 5,496.77 × 1,938.68
  4. Step 4: Simplify right side
    3,668.84x = 10,656,455.43
  5. Step 5: Solve for x
    x = 10,656,455.43/3,668.84
  6. Step 6: Final answer
    x = 2,904.59

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.