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Finding the Fourth Proportional to 3,677.66, 5,075.90 and 2,185.29

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Solution

The fourth proportional to 3,677.66, 5,075.90 and 2,185.29 is: 3,016.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,677.66 : 5,075.90 = 2,185.29 : x
  2. Step 2: Convert to fraction form
    3,677.66/5,075.90 = 2,185.29/x
  3. Step 3: Cross multiply
    3,677.66x = 5,075.90 × 2,185.29
  4. Step 4: Simplify right side
    3,677.66x = 11,092,288.13
  5. Step 5: Solve for x
    x = 11,092,288.13/3,677.66
  6. Step 6: Final answer
    x = 3,016.13

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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.