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Finding the Fourth Proportional to 3,640.47, 5,462.07 and 2,180.64

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Solution

The fourth proportional to 3,640.47, 5,462.07 and 2,180.64 is: 3,271.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.47 : 5,462.07 = 2,180.64 : x
  2. Step 2: Convert to fraction form
    3,640.47/5,462.07 = 2,180.64/x
  3. Step 3: Cross multiply
    3,640.47x = 5,462.07 × 2,180.64
  4. Step 4: Simplify right side
    3,640.47x = 11,910,808.32
  5. Step 5: Solve for x
    x = 11,910,808.32/3,640.47
  6. Step 6: Final answer
    x = 3,271.78

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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.