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Finding the Fourth Proportional to 3,716.99, 5,576.90 and 1,743.69

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Solution

The fourth proportional to 3,716.99, 5,576.90 and 1,743.69 is: 2,616.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,716.99 : 5,576.90 = 1,743.69 : x
  2. Step 2: Convert to fraction form
    3,716.99/5,576.90 = 1,743.69/x
  3. Step 3: Cross multiply
    3,716.99x = 5,576.90 × 1,743.69
  4. Step 4: Simplify right side
    3,716.99x = 9,724,376.04
  5. Step 5: Solve for x
    x = 9,724,376.04/3,716.99
  6. Step 6: Final answer
    x = 2,616.20

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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.