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Finding the Fourth Proportional to 7,729.54, 11,597.91 and 3,349.78

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Solution

The fourth proportional to 7,729.54, 11,597.91 and 3,349.78 is: 5,026.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,729.54 : 11,597.91 = 3,349.78 : x
  2. Step 2: Convert to fraction form
    7,729.54/11,597.91 = 3,349.78/x
  3. Step 3: Cross multiply
    7,729.54x = 11,597.91 × 3,349.78
  4. Step 4: Simplify right side
    7,729.54x = 38,850,446.96
  5. Step 5: Solve for x
    x = 38,850,446.96/7,729.54
  6. Step 6: Final answer
    x = 5,026.23

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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.