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Finding the Fourth Proportional to 4,205.50, 6,307.98 and 1,739.68

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Solution

The fourth proportional to 4,205.50, 6,307.98 and 1,739.68 is: 2,609.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,205.50 : 6,307.98 = 1,739.68 : x
  2. Step 2: Convert to fraction form
    4,205.50/6,307.98 = 1,739.68/x
  3. Step 3: Cross multiply
    4,205.50x = 6,307.98 × 1,739.68
  4. Step 4: Simplify right side
    4,205.50x = 10,973,866.65
  5. Step 5: Solve for x
    x = 10,973,866.65/4,205.50
  6. Step 6: Final answer
    x = 2,609.41

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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.