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Finding the Fourth Proportional to 4,133.10, 5,703 and 2,539.22

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Solution

The fourth proportional to 4,133.10, 5,703 and 2,539.22 is: 3,503.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,133.10 : 5,703 = 2,539.22 : x
  2. Step 2: Convert to fraction form
    4,133.10/5,703 = 2,539.22/x
  3. Step 3: Cross multiply
    4,133.10x = 5,703 × 2,539.22
  4. Step 4: Simplify right side
    4,133.10x = 14,481,171.66
  5. Step 5: Solve for x
    x = 14,481,171.66/4,133.10
  6. Step 6: Final answer
    x = 3,503.71

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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.