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Finding the Fourth Proportional to 4,651.78, 6,419.87 and 2,661.94

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Solution

The fourth proportional to 4,651.78, 6,419.87 and 2,661.94 is: 3,673.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,651.78 : 6,419.87 = 2,661.94 : x
  2. Step 2: Convert to fraction form
    4,651.78/6,419.87 = 2,661.94/x
  3. Step 3: Cross multiply
    4,651.78x = 6,419.87 × 2,661.94
  4. Step 4: Simplify right side
    4,651.78x = 17,089,308.75
  5. Step 5: Solve for x
    x = 17,089,308.75/4,651.78
  6. Step 6: Final answer
    x = 3,673.71

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.