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Finding the Fourth Proportional to 7,202.39, 9,939.27 and 4,058.63

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Solution

The fourth proportional to 7,202.39, 9,939.27 and 4,058.63 is: 5,600.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,202.39 : 9,939.27 = 4,058.63 : x
  2. Step 2: Convert to fraction form
    7,202.39/9,939.27 = 4,058.63/x
  3. Step 3: Cross multiply
    7,202.39x = 9,939.27 × 4,058.63
  4. Step 4: Simplify right side
    7,202.39x = 40,339,819.40
  5. Step 5: Solve for x
    x = 40,339,819.40/7,202.39
  6. Step 6: Final answer
    x = 5,600.89

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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.