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Finding the Fourth Proportional to 4,578.89, 6,851.93 and 3,964.71

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Solution

The fourth proportional to 4,578.89, 6,851.93 and 3,964.71 is: 5,932.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,578.89 : 6,851.93 = 3,964.71 : x
  2. Step 2: Convert to fraction form
    4,578.89/6,851.93 = 3,964.71/x
  3. Step 3: Cross multiply
    4,578.89x = 6,851.93 × 3,964.71
  4. Step 4: Simplify right side
    4,578.89x = 27,165,895.57
  5. Step 5: Solve for x
    x = 27,165,895.57/4,578.89
  6. Step 6: Final answer
    x = 5,932.86

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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.