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Finding the Fourth Proportional to 4,609.92, 6,909.96 and 1,835.44

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Solution

The fourth proportional to 4,609.92, 6,909.96 and 1,835.44 is: 2,751.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.92 : 6,909.96 = 1,835.44 : x
  2. Step 2: Convert to fraction form
    4,609.92/6,909.96 = 1,835.44/x
  3. Step 3: Cross multiply
    4,609.92x = 6,909.96 × 1,835.44
  4. Step 4: Simplify right side
    4,609.92x = 12,682,816.98
  5. Step 5: Solve for x
    x = 12,682,816.98/4,609.92
  6. Step 6: Final answer
    x = 2,751.20

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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.