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Finding the Fourth Proportional to 3,286.60, 4,592.60 and 3,286.60

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Solution

The fourth proportional to 3,286.60, 4,592.60 and 3,286.60 is: 4,592.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,286.60 : 4,592.60 = 3,286.60 : x
  2. Step 2: Convert to fraction form
    3,286.60/4,592.60 = 3,286.60/x
  3. Step 3: Cross multiply
    3,286.60x = 4,592.60 × 3,286.60
  4. Step 4: Simplify right side
    3,286.60x = 15,094,039.16
  5. Step 5: Solve for x
    x = 15,094,039.16/3,286.60
  6. Step 6: Final answer
    x = 4,592.60

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Why These Related Problems?

These problems maintain the same ratio (1.40) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.