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Finding the Fourth Proportional to 3,907.44, 5,856 and 1,713.78

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Solution

The fourth proportional to 3,907.44, 5,856 and 1,713.78 is: 2,568.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.44 : 5,856 = 1,713.78 : x
  2. Step 2: Convert to fraction form
    3,907.44/5,856 = 1,713.78/x
  3. Step 3: Cross multiply
    3,907.44x = 5,856 × 1,713.78
  4. Step 4: Simplify right side
    3,907.44x = 10,035,895.68
  5. Step 5: Solve for x
    x = 10,035,895.68/3,907.44
  6. Step 6: Final answer
    x = 2,568.41

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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.