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Finding the Fourth Proportional to 3,897.97, 5,847.26 and 1,300.91

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Solution

The fourth proportional to 3,897.97, 5,847.26 and 1,300.91 is: 1,951.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.97 : 5,847.26 = 1,300.91 : x
  2. Step 2: Convert to fraction form
    3,897.97/5,847.26 = 1,300.91/x
  3. Step 3: Cross multiply
    3,897.97x = 5,847.26 × 1,300.91
  4. Step 4: Simplify right side
    3,897.97x = 7,606,759.01
  5. Step 5: Solve for x
    x = 7,606,759.01/3,897.97
  6. Step 6: Final answer
    x = 1,951.47

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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.