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Finding the Fourth Proportional to 3,677.67, 5,075.13 and 1,999.11

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Solution

The fourth proportional to 3,677.67, 5,075.13 and 1,999.11 is: 2,758.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.67 : 5,075.13 = 1,999.11 : x
  2. Step 2: Convert to fraction form
    3,677.67/5,075.13 = 1,999.11/x
  3. Step 3: Cross multiply
    3,677.67x = 5,075.13 × 1,999.11
  4. Step 4: Simplify right side
    3,677.67x = 10,145,743.13
  5. Step 5: Solve for x
    x = 10,145,743.13/3,677.67
  6. Step 6: Final answer
    x = 2,758.74

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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.