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Finding the Fourth Proportional to 3,698.76, 5,548.94 and 1,722.92

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Solution

The fourth proportional to 3,698.76, 5,548.94 and 1,722.92 is: 2,584.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,698.76 : 5,548.94 = 1,722.92 : x
  2. Step 2: Convert to fraction form
    3,698.76/5,548.94 = 1,722.92/x
  3. Step 3: Cross multiply
    3,698.76x = 5,548.94 × 1,722.92
  4. Step 4: Simplify right side
    3,698.76x = 9,560,379.70
  5. Step 5: Solve for x
    x = 9,560,379.70/3,698.76
  6. Step 6: Final answer
    x = 2,584.75

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1.5x scale

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.