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Finding the Fourth Proportional to 4,357.69, 6,536.24 and 2,507.44

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Solution

The fourth proportional to 4,357.69, 6,536.24 and 2,507.44 is: 3,760.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,357.69 : 6,536.24 = 2,507.44 : x
  2. Step 2: Convert to fraction form
    4,357.69/6,536.24 = 2,507.44/x
  3. Step 3: Cross multiply
    4,357.69x = 6,536.24 × 2,507.44
  4. Step 4: Simplify right side
    4,357.69x = 16,389,217.09
  5. Step 5: Solve for x
    x = 16,389,217.09/4,357.69
  6. Step 6: Final answer
    x = 3,760.99

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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.