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Finding the Fourth Proportional to 3,907.56, 5,863.74 and 1,599

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Solution

The fourth proportional to 3,907.56, 5,863.74 and 1,599 is: 2,399.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,907.56 : 5,863.74 = 1,599 : x
  2. Step 2: Convert to fraction form
    3,907.56/5,863.74 = 1,599/x
  3. Step 3: Cross multiply
    3,907.56x = 5,863.74 × 1,599
  4. Step 4: Simplify right side
    3,907.56x = 9,376,120.26
  5. Step 5: Solve for x
    x = 9,376,120.26/3,907.56
  6. Step 6: Final answer
    x = 2,399.48

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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.