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Finding the Fourth Proportional to 3,907.49, 5,863.97 and 1,717.76

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Solution

The fourth proportional to 3,907.49, 5,863.97 and 1,717.76 is: 2,577.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.49 : 5,863.97 = 1,717.76 : x
  2. Step 2: Convert to fraction form
    3,907.49/5,863.97 = 1,717.76/x
  3. Step 3: Cross multiply
    3,907.49x = 5,863.97 × 1,717.76
  4. Step 4: Simplify right side
    3,907.49x = 10,072,874.25
  5. Step 5: Solve for x
    x = 10,072,874.25/3,907.49
  6. Step 6: Final answer
    x = 2,577.84

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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.