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Finding the Fourth Proportional to 4,522.80, 6,786.16 and 1,751.42

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Solution

The fourth proportional to 4,522.80, 6,786.16 and 1,751.42 is: 2,627.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,522.80 : 6,786.16 = 1,751.42 : x
  2. Step 2: Convert to fraction form
    4,522.80/6,786.16 = 1,751.42/x
  3. Step 3: Cross multiply
    4,522.80x = 6,786.16 × 1,751.42
  4. Step 4: Simplify right side
    4,522.80x = 11,885,416.35
  5. Step 5: Solve for x
    x = 11,885,416.35/4,522.80
  6. Step 6: Final answer
    x = 2,627.89

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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.