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Finding the Fourth Proportional to 5,609.06, 7,740.38 and 3,514.34

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Solution

The fourth proportional to 5,609.06, 7,740.38 and 3,514.34 is: 4,849.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,609.06 : 7,740.38 = 3,514.34 : x
  2. Step 2: Convert to fraction form
    5,609.06/7,740.38 = 3,514.34/x
  3. Step 3: Cross multiply
    5,609.06x = 7,740.38 × 3,514.34
  4. Step 4: Simplify right side
    5,609.06x = 27,202,327.05
  5. Step 5: Solve for x
    x = 27,202,327.05/5,609.06
  6. Step 6: Final answer
    x = 4,849.71

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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.