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Finding the Fourth Proportional to 5,194.60, 7,170.58 and 3,517

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Solution

The fourth proportional to 5,194.60, 7,170.58 and 3,517 is: 4,854.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,194.60 : 7,170.58 = 3,517 : x
  2. Step 2: Convert to fraction form
    5,194.60/7,170.58 = 3,517/x
  3. Step 3: Cross multiply
    5,194.60x = 7,170.58 × 3,517
  4. Step 4: Simplify right side
    5,194.60x = 25,218,929.86
  5. Step 5: Solve for x
    x = 25,218,929.86/5,194.60
  6. Step 6: Final answer
    x = 4,854.84

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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.