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Finding the Fourth Proportional to 4,613.60, 6,375.11 and 3,285

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Solution

The fourth proportional to 4,613.60, 6,375.11 and 3,285 is: 4,539.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,613.60 : 6,375.11 = 3,285 : x
  2. Step 2: Convert to fraction form
    4,613.60/6,375.11 = 3,285/x
  3. Step 3: Cross multiply
    4,613.60x = 6,375.11 × 3,285
  4. Step 4: Simplify right side
    4,613.60x = 20,942,236.35
  5. Step 5: Solve for x
    x = 20,942,236.35/4,613.60
  6. Step 6: Final answer
    x = 4,539.24

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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.