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Finding the Fourth Proportional to 3,635.92, 5,455.08 and 1,686.70

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Solution

The fourth proportional to 3,635.92, 5,455.08 and 1,686.70 is: 2,530.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,635.92 : 5,455.08 = 1,686.70 : x
  2. Step 2: Convert to fraction form
    3,635.92/5,455.08 = 1,686.70/x
  3. Step 3: Cross multiply
    3,635.92x = 5,455.08 × 1,686.70
  4. Step 4: Simplify right side
    3,635.92x = 9,201,083.44
  5. Step 5: Solve for x
    x = 9,201,083.44/3,635.92
  6. Step 6: Final answer
    x = 2,530.61

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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.