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Finding the Fourth Proportional to 3,658.16, 5,491.96 and 3,141.48

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Solution

The fourth proportional to 3,658.16, 5,491.96 and 3,141.48 is: 4,716.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,658.16 : 5,491.96 = 3,141.48 : x
  2. Step 2: Convert to fraction form
    3,658.16/5,491.96 = 3,141.48/x
  3. Step 3: Cross multiply
    3,658.16x = 5,491.96 × 3,141.48
  4. Step 4: Simplify right side
    3,658.16x = 17,252,882.50
  5. Step 5: Solve for x
    x = 17,252,882.50/3,658.16
  6. Step 6: Final answer
    x = 4,716.27

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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.