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Finding the Fourth Proportional to 4,349.56, 6,525.12 and 2,041

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Solution

The fourth proportional to 4,349.56, 6,525.12 and 2,041 is: 3,061.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,349.56 : 6,525.12 = 2,041 : x
  2. Step 2: Convert to fraction form
    4,349.56/6,525.12 = 2,041/x
  3. Step 3: Cross multiply
    4,349.56x = 6,525.12 × 2,041
  4. Step 4: Simplify right side
    4,349.56x = 13,317,769.92
  5. Step 5: Solve for x
    x = 13,317,769.92/4,349.56
  6. Step 6: Final answer
    x = 3,061.87

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.