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Finding the Fourth Proportional to 4,675.75, 7,013.64 and 1,755.43

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Solution

The fourth proportional to 4,675.75, 7,013.64 and 1,755.43 is: 2,633.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,675.75 : 7,013.64 = 1,755.43 : x
  2. Step 2: Convert to fraction form
    4,675.75/7,013.64 = 1,755.43/x
  3. Step 3: Cross multiply
    4,675.75x = 7,013.64 × 1,755.43
  4. Step 4: Simplify right side
    4,675.75x = 12,311,954.07
  5. Step 5: Solve for x
    x = 12,311,954.07/4,675.75
  6. Step 6: Final answer
    x = 2,633.15

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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.