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Finding the Fourth Proportional to 6,503.24, 8,974.45 and 3,519.06

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Solution

The fourth proportional to 6,503.24, 8,974.45 and 3,519.06 is: 4,856.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,503.24 : 8,974.45 = 3,519.06 : x
  2. Step 2: Convert to fraction form
    6,503.24/8,974.45 = 3,519.06/x
  3. Step 3: Cross multiply
    6,503.24x = 8,974.45 × 3,519.06
  4. Step 4: Simplify right side
    6,503.24x = 31,581,629.45
  5. Step 5: Solve for x
    x = 31,581,629.45/6,503.24
  6. Step 6: Final answer
    x = 4,856.29

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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.