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Finding the Fourth Proportional to 3,679.66, 5,075.67 and 2,186.56

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Solution

The fourth proportional to 3,679.66, 5,075.67 and 2,186.56 is: 3,016.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,679.66 : 5,075.67 = 2,186.56 : x
  2. Step 2: Convert to fraction form
    3,679.66/5,075.67 = 2,186.56/x
  3. Step 3: Cross multiply
    3,679.66x = 5,075.67 × 2,186.56
  4. Step 4: Simplify right side
    3,679.66x = 11,098,257.00
  5. Step 5: Solve for x
    x = 11,098,257.00/3,679.66
  6. Step 6: Final answer
    x = 3,016.11

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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.