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Finding the Fourth Proportional to 3,642.40, 5,458.20 and 3,091.60

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Solution

The fourth proportional to 3,642.40, 5,458.20 and 3,091.60 is: 4,632.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,642.40 : 5,458.20 = 3,091.60 : x
  2. Step 2: Convert to fraction form
    3,642.40/5,458.20 = 3,091.60/x
  3. Step 3: Cross multiply
    3,642.40x = 5,458.20 × 3,091.60
  4. Step 4: Simplify right side
    3,642.40x = 16,874,571.12
  5. Step 5: Solve for x
    x = 16,874,571.12/3,642.40
  6. Step 6: Final answer
    x = 4,632.82

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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.