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Finding the Fourth Proportional to 4,502.43, 6,747.42 and 2,161.53

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Solution

The fourth proportional to 4,502.43, 6,747.42 and 2,161.53 is: 3,239.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.43 : 6,747.42 = 2,161.53 : x
  2. Step 2: Convert to fraction form
    4,502.43/6,747.42 = 2,161.53/x
  3. Step 3: Cross multiply
    4,502.43x = 6,747.42 × 2,161.53
  4. Step 4: Simplify right side
    4,502.43x = 14,584,750.75
  5. Step 5: Solve for x
    x = 14,584,750.75/4,502.43
  6. Step 6: Final answer
    x = 3,239.31

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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.