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Finding the Fourth Proportional to 3,499.96, 5,250.30 and 1,651

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Solution

The fourth proportional to 3,499.96, 5,250.30 and 1,651 is: 2,476.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.96 : 5,250.30 = 1,651 : x
  2. Step 2: Convert to fraction form
    3,499.96/5,250.30 = 1,651/x
  3. Step 3: Cross multiply
    3,499.96x = 5,250.30 × 1,651
  4. Step 4: Simplify right side
    3,499.96x = 8,668,245.30
  5. Step 5: Solve for x
    x = 8,668,245.30/3,499.96
  6. Step 6: Final answer
    x = 2,476.67

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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.