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Finding the Fourth Proportional to 3,755.25, 5,636.22 and 2,001.70

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Solution

The fourth proportional to 3,755.25, 5,636.22 and 2,001.70 is: 3,004.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.25 : 5,636.22 = 2,001.70 : x
  2. Step 2: Convert to fraction form
    3,755.25/5,636.22 = 2,001.70/x
  3. Step 3: Cross multiply
    3,755.25x = 5,636.22 × 2,001.70
  4. Step 4: Simplify right side
    3,755.25x = 11,282,036.30
  5. Step 5: Solve for x
    x = 11,282,036.30/3,755.25
  6. Step 6: Final answer
    x = 3,004.34

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.