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Finding the Fourth Proportional to 3,553.30, 5,329.77 and 1,361.86

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Solution

The fourth proportional to 3,553.30, 5,329.77 and 1,361.86 is: 2,042.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,553.30 : 5,329.77 = 1,361.86 : x
  2. Step 2: Convert to fraction form
    3,553.30/5,329.77 = 1,361.86/x
  3. Step 3: Cross multiply
    3,553.30x = 5,329.77 × 1,361.86
  4. Step 4: Simplify right side
    3,553.30x = 7,258,400.57
  5. Step 5: Solve for x
    x = 7,258,400.57/3,553.30
  6. Step 6: Final answer
    x = 2,042.72

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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.