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Finding the Fourth Proportional to 3,478.62, 5,206.92 and 2,749.62

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Solution

The fourth proportional to 3,478.62, 5,206.92 and 2,749.62 is: 4,115.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,478.62 : 5,206.92 = 2,749.62 : x
  2. Step 2: Convert to fraction form
    3,478.62/5,206.92 = 2,749.62/x
  3. Step 3: Cross multiply
    3,478.62x = 5,206.92 × 2,749.62
  4. Step 4: Simplify right side
    3,478.62x = 14,317,051.37
  5. Step 5: Solve for x
    x = 14,317,051.37/3,478.62
  6. Step 6: Final answer
    x = 4,115.73

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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.