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Finding the Fourth Proportional to 4,609.65, 6,909.30 and 1,835.57

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Solution

The fourth proportional to 4,609.65, 6,909.30 and 1,835.57 is: 2,751.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,609.65 : 6,909.30 = 1,835.57 : x
  2. Step 2: Convert to fraction form
    4,609.65/6,909.30 = 1,835.57/x
  3. Step 3: Cross multiply
    4,609.65x = 6,909.30 × 1,835.57
  4. Step 4: Simplify right side
    4,609.65x = 12,682,469.25
  5. Step 5: Solve for x
    x = 12,682,469.25/4,609.65
  6. Step 6: Final answer
    x = 2,751.29

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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.