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Finding the Fourth Proportional to 3,635.67, 5,451.08 and 1,686.81

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Solution

The fourth proportional to 3,635.67, 5,451.08 and 1,686.81 is: 2,529.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.67 : 5,451.08 = 1,686.81 : x
  2. Step 2: Convert to fraction form
    3,635.67/5,451.08 = 1,686.81/x
  3. Step 3: Cross multiply
    3,635.67x = 5,451.08 × 1,686.81
  4. Step 4: Simplify right side
    3,635.67x = 9,194,927.82
  5. Step 5: Solve for x
    x = 9,194,927.82/3,635.67
  6. Step 6: Final answer
    x = 2,529.09

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.