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Finding the Fourth Proportional to 6,591.06, 9,094.82 and 3,938.04

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Solution

The fourth proportional to 6,591.06, 9,094.82 and 3,938.04 is: 5,433.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,591.06 : 9,094.82 = 3,938.04 : x
  2. Step 2: Convert to fraction form
    6,591.06/9,094.82 = 3,938.04/x
  3. Step 3: Cross multiply
    6,591.06x = 9,094.82 × 3,938.04
  4. Step 4: Simplify right side
    6,591.06x = 35,815,745.26
  5. Step 5: Solve for x
    x = 35,815,745.26/6,591.06
  6. Step 6: Final answer
    x = 5,433.99

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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.