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Finding the Fourth Proportional to 4,364.60, 6,539.70 and 2,168.60

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Solution

The fourth proportional to 4,364.60, 6,539.70 and 2,168.60 is: 3,249.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,364.60 : 6,539.70 = 2,168.60 : x
  2. Step 2: Convert to fraction form
    4,364.60/6,539.70 = 2,168.60/x
  3. Step 3: Cross multiply
    4,364.60x = 6,539.70 × 2,168.60
  4. Step 4: Simplify right side
    4,364.60x = 14,181,993.42
  5. Step 5: Solve for x
    x = 14,181,993.42/4,364.60
  6. Step 6: Final answer
    x = 3,249.32

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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.