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Finding the Fourth Proportional to 5,302.26, 7,318.94 and 3,206.38

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Solution

The fourth proportional to 5,302.26, 7,318.94 and 3,206.38 is: 4,425.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,302.26 : 7,318.94 = 3,206.38 : x
  2. Step 2: Convert to fraction form
    5,302.26/7,318.94 = 3,206.38/x
  3. Step 3: Cross multiply
    5,302.26x = 7,318.94 × 3,206.38
  4. Step 4: Simplify right side
    5,302.26x = 23,467,302.84
  5. Step 5: Solve for x
    x = 23,467,302.84/5,302.26
  6. Step 6: Final answer
    x = 4,425.91

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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.