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Finding the Fourth Proportional to 3,677.96, 5,075.53 and 1,999.35

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Solution

The fourth proportional to 3,677.96, 5,075.53 and 1,999.35 is: 2,759.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.96 : 5,075.53 = 1,999.35 : x
  2. Step 2: Convert to fraction form
    3,677.96/5,075.53 = 1,999.35/x
  3. Step 3: Cross multiply
    3,677.96x = 5,075.53 × 1,999.35
  4. Step 4: Simplify right side
    3,677.96x = 10,147,755.91
  5. Step 5: Solve for x
    x = 10,147,755.91/3,677.96
  6. Step 6: Final answer
    x = 2,759.07

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.