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Finding the Fourth Proportional to 3,469.69, 4,788.21 and 1,897.75

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Solution

The fourth proportional to 3,469.69, 4,788.21 and 1,897.75 is: 2,618.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,469.69 : 4,788.21 = 1,897.75 : x
  2. Step 2: Convert to fraction form
    3,469.69/4,788.21 = 1,897.75/x
  3. Step 3: Cross multiply
    3,469.69x = 4,788.21 × 1,897.75
  4. Step 4: Simplify right side
    3,469.69x = 9,086,825.53
  5. Step 5: Solve for x
    x = 9,086,825.53/3,469.69
  6. Step 6: Final answer
    x = 2,618.92

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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.