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Finding the Fourth Proportional to 4,965.56, 7,449.57 and 3,561.62

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Solution

The fourth proportional to 4,965.56, 7,449.57 and 3,561.62 is: 5,343.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,965.56 : 7,449.57 = 3,561.62 : x
  2. Step 2: Convert to fraction form
    4,965.56/7,449.57 = 3,561.62/x
  3. Step 3: Cross multiply
    4,965.56x = 7,449.57 × 3,561.62
  4. Step 4: Simplify right side
    4,965.56x = 26,532,537.50
  5. Step 5: Solve for x
    x = 26,532,537.50/4,965.56
  6. Step 6: Final answer
    x = 5,343.31

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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.