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Finding the Fourth Proportional to 4,668.75, 7,003.13 and 1,748.43

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Solution

The fourth proportional to 4,668.75, 7,003.13 and 1,748.43 is: 2,622.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,668.75 : 7,003.13 = 1,748.43 : x
  2. Step 2: Convert to fraction form
    4,668.75/7,003.13 = 1,748.43/x
  3. Step 3: Cross multiply
    4,668.75x = 7,003.13 × 1,748.43
  4. Step 4: Simplify right side
    4,668.75x = 12,244,473.84
  5. Step 5: Solve for x
    x = 12,244,473.84/4,668.75
  6. Step 6: Final answer
    x = 2,622.65

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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.