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Finding the Fourth Proportional to 3,470.40, 5,217.12 and 3,213.59

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Solution

The fourth proportional to 3,470.40, 5,217.12 and 3,213.59 is: 4,831.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.40 : 5,217.12 = 3,213.59 : x
  2. Step 2: Convert to fraction form
    3,470.40/5,217.12 = 3,213.59/x
  3. Step 3: Cross multiply
    3,470.40x = 5,217.12 × 3,213.59
  4. Step 4: Simplify right side
    3,470.40x = 16,765,658.58
  5. Step 5: Solve for x
    x = 16,765,658.58/3,470.40
  6. Step 6: Final answer
    x = 4,831.05

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.