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Finding the Fourth Proportional to 4,157.43, 6,240.36 and 2,078.92

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Solution

The fourth proportional to 4,157.43, 6,240.36 and 2,078.92 is: 3,120.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,157.43 : 6,240.36 = 2,078.92 : x
  2. Step 2: Convert to fraction form
    4,157.43/6,240.36 = 2,078.92/x
  3. Step 3: Cross multiply
    4,157.43x = 6,240.36 × 2,078.92
  4. Step 4: Simplify right side
    4,157.43x = 12,973,209.21
  5. Step 5: Solve for x
    x = 12,973,209.21/4,157.43
  6. Step 6: Final answer
    x = 3,120.49

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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.