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Finding the Fourth Proportional to 4,567.38, 6,850.47 and 1,447.68

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Solution

The fourth proportional to 4,567.38, 6,850.47 and 1,447.68 is: 2,171.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,567.38 : 6,850.47 = 1,447.68 : x
  2. Step 2: Convert to fraction form
    4,567.38/6,850.47 = 1,447.68/x
  3. Step 3: Cross multiply
    4,567.38x = 6,850.47 × 1,447.68
  4. Step 4: Simplify right side
    4,567.38x = 9,917,288.41
  5. Step 5: Solve for x
    x = 9,917,288.41/4,567.38
  6. Step 6: Final answer
    x = 2,171.33

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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.