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Finding the Fourth Proportional to 6,480.88, 8,943.42 and 3,648.42

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Solution

The fourth proportional to 6,480.88, 8,943.42 and 3,648.42 is: 5,034.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.88 : 8,943.42 = 3,648.42 : x
  2. Step 2: Convert to fraction form
    6,480.88/8,943.42 = 3,648.42/x
  3. Step 3: Cross multiply
    6,480.88x = 8,943.42 × 3,648.42
  4. Step 4: Simplify right side
    6,480.88x = 32,629,352.40
  5. Step 5: Solve for x
    x = 32,629,352.40/6,480.88
  6. Step 6: Final answer
    x = 5,034.71

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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.