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Finding the Fourth Proportional to 3,416.60, 5,124.90 and 3,197.90

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Solution

The fourth proportional to 3,416.60, 5,124.90 and 3,197.90 is: 4,796.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,416.60 : 5,124.90 = 3,197.90 : x
  2. Step 2: Convert to fraction form
    3,416.60/5,124.90 = 3,197.90/x
  3. Step 3: Cross multiply
    3,416.60x = 5,124.90 × 3,197.90
  4. Step 4: Simplify right side
    3,416.60x = 16,388,917.71
  5. Step 5: Solve for x
    x = 16,388,917.71/3,416.60
  6. Step 6: Final answer
    x = 4,796.85

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1.5x scale

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.