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Finding the Fourth Proportional to 6,508, 8,981.02 and 3,523.80

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Solution

The fourth proportional to 6,508, 8,981.02 and 3,523.80 is: 4,862.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,508 : 8,981.02 = 3,523.80 : x
  2. Step 2: Convert to fraction form
    6,508/8,981.02 = 3,523.80/x
  3. Step 3: Cross multiply
    6,508x = 8,981.02 × 3,523.80
  4. Step 4: Simplify right side
    6,508x = 31,647,318.28
  5. Step 5: Solve for x
    x = 31,647,318.28/6,508
  6. Step 6: Final answer
    x = 4,862.83

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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.