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Finding the Fourth Proportional to 5,290.60, 7,940.70 and 4,198.12

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Solution

The fourth proportional to 5,290.60, 7,940.70 and 4,198.12 is: 6,300.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,290.60 : 7,940.70 = 4,198.12 : x
  2. Step 2: Convert to fraction form
    5,290.60/7,940.70 = 4,198.12/x
  3. Step 3: Cross multiply
    5,290.60x = 7,940.70 × 4,198.12
  4. Step 4: Simplify right side
    5,290.60x = 33,336,011.48
  5. Step 5: Solve for x
    x = 33,336,011.48/5,290.60
  6. Step 6: Final answer
    x = 6,300.99

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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.