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Finding the Fourth Proportional to 5,729, 7,906.02 and 3,245

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Solution

The fourth proportional to 5,729, 7,906.02 and 3,245 is: 4,478.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,729 : 7,906.02 = 3,245 : x
  2. Step 2: Convert to fraction form
    5,729/7,906.02 = 3,245/x
  3. Step 3: Cross multiply
    5,729x = 7,906.02 × 3,245
  4. Step 4: Simplify right side
    5,729x = 25,655,034.90
  5. Step 5: Solve for x
    x = 25,655,034.90/5,729
  6. Step 6: Final answer
    x = 4,478.10

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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.