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Finding the Fourth Proportional to 4,647.54, 6,963.21 and 3,872.52

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Solution

The fourth proportional to 4,647.54, 6,963.21 and 3,872.52 is: 5,802.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,647.54 : 6,963.21 = 3,872.52 : x
  2. Step 2: Convert to fraction form
    4,647.54/6,963.21 = 3,872.52/x
  3. Step 3: Cross multiply
    4,647.54x = 6,963.21 × 3,872.52
  4. Step 4: Simplify right side
    4,647.54x = 26,965,169.99
  5. Step 5: Solve for x
    x = 26,965,169.99/4,647.54
  6. Step 6: Final answer
    x = 5,802.03

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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.