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Finding the Fourth Proportional to 3,475.29, 5,211.30 and 2,014.86

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Solution

The fourth proportional to 3,475.29, 5,211.30 and 2,014.86 is: 3,021.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.29 : 5,211.30 = 2,014.86 : x
  2. Step 2: Convert to fraction form
    3,475.29/5,211.30 = 2,014.86/x
  3. Step 3: Cross multiply
    3,475.29x = 5,211.30 × 2,014.86
  4. Step 4: Simplify right side
    3,475.29x = 10,500,039.92
  5. Step 5: Solve for x
    x = 10,500,039.92/3,475.29
  6. Step 6: Final answer
    x = 3,021.34

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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.