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Finding the Fourth Proportional to 3,755.97, 5,636.48 and 1,418.13

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Solution

The fourth proportional to 3,755.97, 5,636.48 and 1,418.13 is: 2,128.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,755.97 : 5,636.48 = 1,418.13 : x
  2. Step 2: Convert to fraction form
    3,755.97/5,636.48 = 1,418.13/x
  3. Step 3: Cross multiply
    3,755.97x = 5,636.48 × 1,418.13
  4. Step 4: Simplify right side
    3,755.97x = 7,993,254.29
  5. Step 5: Solve for x
    x = 7,993,254.29/3,755.97
  6. Step 6: Final answer
    x = 2,128.15

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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.