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Finding the Fourth Proportional to 4,801.22, 7,201.88 and 1,338.47

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Solution

The fourth proportional to 4,801.22, 7,201.88 and 1,338.47 is: 2,007.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,801.22 : 7,201.88 = 1,338.47 : x
  2. Step 2: Convert to fraction form
    4,801.22/7,201.88 = 1,338.47/x
  3. Step 3: Cross multiply
    4,801.22x = 7,201.88 × 1,338.47
  4. Step 4: Simplify right side
    4,801.22x = 9,639,489.65
  5. Step 5: Solve for x
    x = 9,639,489.65/4,801.22
  6. Step 6: Final answer
    x = 2,007.72

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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.