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Finding the Fourth Proportional to 3,983.65, 5,975.47 and 1,897.33

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Solution

The fourth proportional to 3,983.65, 5,975.47 and 1,897.33 is: 2,845.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,983.65 : 5,975.47 = 1,897.33 : x
  2. Step 2: Convert to fraction form
    3,983.65/5,975.47 = 1,897.33/x
  3. Step 3: Cross multiply
    3,983.65x = 5,975.47 × 1,897.33
  4. Step 4: Simplify right side
    3,983.65x = 11,337,425.93
  5. Step 5: Solve for x
    x = 11,337,425.93/3,983.65
  6. Step 6: Final answer
    x = 2,845.99

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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.