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Finding the Fourth Proportional to 4,502.40, 6,213.24 and 2,709.87

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Solution

The fourth proportional to 4,502.40, 6,213.24 and 2,709.87 is: 3,739.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.40 : 6,213.24 = 2,709.87 : x
  2. Step 2: Convert to fraction form
    4,502.40/6,213.24 = 2,709.87/x
  3. Step 3: Cross multiply
    4,502.40x = 6,213.24 × 2,709.87
  4. Step 4: Simplify right side
    4,502.40x = 16,837,049.38
  5. Step 5: Solve for x
    x = 16,837,049.38/4,502.40
  6. Step 6: Final answer
    x = 3,739.58

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.