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Finding the Fourth Proportional to 4,847.75, 7,272.30 and 1,726.84

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Solution

The fourth proportional to 4,847.75, 7,272.30 and 1,726.84 is: 2,590.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,847.75 : 7,272.30 = 1,726.84 : x
  2. Step 2: Convert to fraction form
    4,847.75/7,272.30 = 1,726.84/x
  3. Step 3: Cross multiply
    4,847.75x = 7,272.30 × 1,726.84
  4. Step 4: Simplify right side
    4,847.75x = 12,558,063.48
  5. Step 5: Solve for x
    x = 12,558,063.48/4,847.75
  6. Step 6: Final answer
    x = 2,590.49

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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.