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Finding the Fourth Proportional to 3,636.34, 5,451.27 and 1,659.94

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Solution

The fourth proportional to 3,636.34, 5,451.27 and 1,659.94 is: 2,488.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.34 : 5,451.27 = 1,659.94 : x
  2. Step 2: Convert to fraction form
    3,636.34/5,451.27 = 1,659.94/x
  3. Step 3: Cross multiply
    3,636.34x = 5,451.27 × 1,659.94
  4. Step 4: Simplify right side
    3,636.34x = 9,048,781.12
  5. Step 5: Solve for x
    x = 9,048,781.12/3,636.34
  6. Step 6: Final answer
    x = 2,488.43

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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.