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Finding the Fourth Proportional to 3,677.65, 5,075.26 and 1,999.17

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Solution

The fourth proportional to 3,677.65, 5,075.26 and 1,999.17 is: 2,758.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.65 : 5,075.26 = 1,999.17 : x
  2. Step 2: Convert to fraction form
    3,677.65/5,075.26 = 1,999.17/x
  3. Step 3: Cross multiply
    3,677.65x = 5,075.26 × 1,999.17
  4. Step 4: Simplify right side
    3,677.65x = 10,146,320.22
  5. Step 5: Solve for x
    x = 10,146,320.22/3,677.65
  6. Step 6: Final answer
    x = 2,758.91

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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.