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Finding the Fourth Proportional to 3,470.70, 5,193.90 and 2,425.80

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Solution

The fourth proportional to 3,470.70, 5,193.90 and 2,425.80 is: 3,630.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,470.70 : 5,193.90 = 2,425.80 : x
  2. Step 2: Convert to fraction form
    3,470.70/5,193.90 = 2,425.80/x
  3. Step 3: Cross multiply
    3,470.70x = 5,193.90 × 2,425.80
  4. Step 4: Simplify right side
    3,470.70x = 12,599,362.62
  5. Step 5: Solve for x
    x = 12,599,362.62/3,470.70
  6. Step 6: Final answer
    x = 3,630.21

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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.