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Finding the Fourth Proportional to 4,052.08, 6,078 and 1,679.92

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Solution

The fourth proportional to 4,052.08, 6,078 and 1,679.92 is: 2,519.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,052.08 : 6,078 = 1,679.92 : x
  2. Step 2: Convert to fraction form
    4,052.08/6,078 = 1,679.92/x
  3. Step 3: Cross multiply
    4,052.08x = 6,078 × 1,679.92
  4. Step 4: Simplify right side
    4,052.08x = 10,210,553.76
  5. Step 5: Solve for x
    x = 10,210,553.76/4,052.08
  6. Step 6: Final answer
    x = 2,519.83

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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.