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Finding the Fourth Proportional to 3,636.21, 5,452.47 and 1,689.78

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Solution

The fourth proportional to 3,636.21, 5,452.47 and 1,689.78 is: 2,533.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,636.21 : 5,452.47 = 1,689.78 : x
  2. Step 2: Convert to fraction form
    3,636.21/5,452.47 = 1,689.78/x
  3. Step 3: Cross multiply
    3,636.21x = 5,452.47 × 1,689.78
  4. Step 4: Simplify right side
    3,636.21x = 9,213,474.76
  5. Step 5: Solve for x
    x = 9,213,474.76/3,636.21
  6. Step 6: Final answer
    x = 2,533.81

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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.