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Finding the Fourth Proportional to 3,677.86, 5,075.23 and 1,999.25

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Solution

The fourth proportional to 3,677.86, 5,075.23 and 1,999.25 is: 2,758.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.86 : 5,075.23 = 1,999.25 : x
  2. Step 2: Convert to fraction form
    3,677.86/5,075.23 = 1,999.25/x
  3. Step 3: Cross multiply
    3,677.86x = 5,075.23 × 1,999.25
  4. Step 4: Simplify right side
    3,677.86x = 10,146,653.58
  5. Step 5: Solve for x
    x = 10,146,653.58/3,677.86
  6. Step 6: Final answer
    x = 2,758.85

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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.