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Finding the Fourth Proportional to 4,199.70, 6,299.55 and 4,107.45

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Solution

The fourth proportional to 4,199.70, 6,299.55 and 4,107.45 is: 6,161.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,199.70 : 6,299.55 = 4,107.45 : x
  2. Step 2: Convert to fraction form
    4,199.70/6,299.55 = 4,107.45/x
  3. Step 3: Cross multiply
    4,199.70x = 6,299.55 × 4,107.45
  4. Step 4: Simplify right side
    4,199.70x = 25,875,086.65
  5. Step 5: Solve for x
    x = 25,875,086.65/4,199.70
  6. Step 6: Final answer
    x = 6,161.18

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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.