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Finding the Fourth Proportional to 3,646.07, 5,469.73 and 2,414.46

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Solution

The fourth proportional to 3,646.07, 5,469.73 and 2,414.46 is: 3,622.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,646.07 : 5,469.73 = 2,414.46 : x
  2. Step 2: Convert to fraction form
    3,646.07/5,469.73 = 2,414.46/x
  3. Step 3: Cross multiply
    3,646.07x = 5,469.73 × 2,414.46
  4. Step 4: Simplify right side
    3,646.07x = 13,206,438.26
  5. Step 5: Solve for x
    x = 13,206,438.26/3,646.07
  6. Step 6: Final answer
    x = 3,622.11

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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.