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Finding the Fourth Proportional to 5,201.40, 7,793.46 and 3,659.16

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Solution

The fourth proportional to 5,201.40, 7,793.46 and 3,659.16 is: 5,482.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,201.40 : 7,793.46 = 3,659.16 : x
  2. Step 2: Convert to fraction form
    5,201.40/7,793.46 = 3,659.16/x
  3. Step 3: Cross multiply
    5,201.40x = 7,793.46 × 3,659.16
  4. Step 4: Simplify right side
    5,201.40x = 28,517,517.09
  5. Step 5: Solve for x
    x = 28,517,517.09/5,201.40
  6. Step 6: Final answer
    x = 5,482.66

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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.