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Finding the Fourth Proportional to 5,308.42, 7,326.42 and 3,821.26

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Solution

The fourth proportional to 5,308.42, 7,326.42 and 3,821.26 is: 5,273.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,308.42 : 7,326.42 = 3,821.26 : x
  2. Step 2: Convert to fraction form
    5,308.42/7,326.42 = 3,821.26/x
  3. Step 3: Cross multiply
    5,308.42x = 7,326.42 × 3,821.26
  4. Step 4: Simplify right side
    5,308.42x = 27,996,155.69
  5. Step 5: Solve for x
    x = 27,996,155.69/5,308.42
  6. Step 6: Final answer
    x = 5,273.91

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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.