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Finding the Fourth Proportional to 3,744.69, 5,620.48 and 1,897.09

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Solution

The fourth proportional to 3,744.69, 5,620.48 and 1,897.09 is: 2,847.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,744.69 : 5,620.48 = 1,897.09 : x
  2. Step 2: Convert to fraction form
    3,744.69/5,620.48 = 1,897.09/x
  3. Step 3: Cross multiply
    3,744.69x = 5,620.48 × 1,897.09
  4. Step 4: Simplify right side
    3,744.69x = 10,662,537.61
  5. Step 5: Solve for x
    x = 10,662,537.61/3,744.69
  6. Step 6: Final answer
    x = 2,847.38

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