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Finding the Fourth Proportional to 5,576.68, 7,694.99 and 3,589.93

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Solution

The fourth proportional to 5,576.68, 7,694.99 and 3,589.93 is: 4,953.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,576.68 : 7,694.99 = 3,589.93 : x
  2. Step 2: Convert to fraction form
    5,576.68/7,694.99 = 3,589.93/x
  3. Step 3: Cross multiply
    5,576.68x = 7,694.99 × 3,589.93
  4. Step 4: Simplify right side
    5,576.68x = 27,624,460.38
  5. Step 5: Solve for x
    x = 27,624,460.38/5,576.68
  6. Step 6: Final answer
    x = 4,953.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.