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Finding the Fourth Proportional to 3,977.93, 5,963.09 and 1,897.38

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Solution

The fourth proportional to 3,977.93, 5,963.09 and 1,897.38 is: 2,844.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,977.93 : 5,963.09 = 1,897.38 : x
  2. Step 2: Convert to fraction form
    3,977.93/5,963.09 = 1,897.38/x
  3. Step 3: Cross multiply
    3,977.93x = 5,963.09 × 1,897.38
  4. Step 4: Simplify right side
    3,977.93x = 11,314,238.22
  5. Step 5: Solve for x
    x = 11,314,238.22/3,977.93
  6. Step 6: Final answer
    x = 2,844.25

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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.