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Finding the Fourth Proportional to 3,903.20, 5,286.60 and 3,903.20

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Solution

The fourth proportional to 3,903.20, 5,286.60 and 3,903.20 is: 5,286.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,903.20 : 5,286.60 = 3,903.20 : x
  2. Step 2: Convert to fraction form
    3,903.20/5,286.60 = 3,903.20/x
  3. Step 3: Cross multiply
    3,903.20x = 5,286.60 × 3,903.20
  4. Step 4: Simplify right side
    3,903.20x = 20,634,657.12
  5. Step 5: Solve for x
    x = 20,634,657.12/3,903.20
  6. Step 6: Final answer
    x = 5,286.60

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.