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Finding the Fourth Proportional to 3,897.54, 5,847.39 and 1,817.46

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Solution

The fourth proportional to 3,897.54, 5,847.39 and 1,817.46 is: 2,726.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,897.54 : 5,847.39 = 1,817.46 : x
  2. Step 2: Convert to fraction form
    3,897.54/5,847.39 = 1,817.46/x
  3. Step 3: Cross multiply
    3,897.54x = 5,847.39 × 1,817.46
  4. Step 4: Simplify right side
    3,897.54x = 10,627,397.43
  5. Step 5: Solve for x
    x = 10,627,397.43/3,897.54
  6. Step 6: Final answer
    x = 2,726.69

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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.