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Finding the Fourth Proportional to 3,755.91, 5,635.62 and 1,675.70

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Solution

The fourth proportional to 3,755.91, 5,635.62 and 1,675.70 is: 2,514.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.91 : 5,635.62 = 1,675.70 : x
  2. Step 2: Convert to fraction form
    3,755.91/5,635.62 = 1,675.70/x
  3. Step 3: Cross multiply
    3,755.91x = 5,635.62 × 1,675.70
  4. Step 4: Simplify right side
    3,755.91x = 9,443,580.26
  5. Step 5: Solve for x
    x = 9,443,580.26/3,755.91
  6. Step 6: Final answer
    x = 2,514.33

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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.