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Finding the Fourth Proportional to 6,503.57, 8,974.92 and 3,519.41

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Solution

The fourth proportional to 6,503.57, 8,974.92 and 3,519.41 is: 4,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.57 : 8,974.92 = 3,519.41 : x
  2. Step 2: Convert to fraction form
    6,503.57/8,974.92 = 3,519.41/x
  3. Step 3: Cross multiply
    6,503.57x = 8,974.92 × 3,519.41
  4. Step 4: Simplify right side
    6,503.57x = 31,586,423.20
  5. Step 5: Solve for x
    x = 31,586,423.20/6,503.57
  6. Step 6: Final answer
    x = 4,856.78

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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.