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Finding the Fourth Proportional to 3,410.65, 5,116.02 and 2,481.76

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Solution

The fourth proportional to 3,410.65, 5,116.02 and 2,481.76 is: 3,722.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.65 : 5,116.02 = 2,481.76 : x
  2. Step 2: Convert to fraction form
    3,410.65/5,116.02 = 2,481.76/x
  3. Step 3: Cross multiply
    3,410.65x = 5,116.02 × 2,481.76
  4. Step 4: Simplify right side
    3,410.65x = 12,696,733.80
  5. Step 5: Solve for x
    x = 12,696,733.80/3,410.65
  6. Step 6: Final answer
    x = 3,722.67

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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.