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Finding the Fourth Proportional to 3,763.96, 5,645.99 and 1,425.06

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Solution

The fourth proportional to 3,763.96, 5,645.99 and 1,425.06 is: 2,137.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.96 : 5,645.99 = 1,425.06 : x
  2. Step 2: Convert to fraction form
    3,763.96/5,645.99 = 1,425.06/x
  3. Step 3: Cross multiply
    3,763.96x = 5,645.99 × 1,425.06
  4. Step 4: Simplify right side
    3,763.96x = 8,045,874.51
  5. Step 5: Solve for x
    x = 8,045,874.51/3,763.96
  6. Step 6: Final answer
    x = 2,137.61

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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.