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Finding the Fourth Proportional to 5,296.73, 7,311.94 and 3,308.58

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Solution

The fourth proportional to 5,296.73, 7,311.94 and 3,308.58 is: 4,567.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,296.73 : 7,311.94 = 3,308.58 : x
  2. Step 2: Convert to fraction form
    5,296.73/7,311.94 = 3,308.58/x
  3. Step 3: Cross multiply
    5,296.73x = 7,311.94 × 3,308.58
  4. Step 4: Simplify right side
    5,296.73x = 24,192,130.17
  5. Step 5: Solve for x
    x = 24,192,130.17/5,296.73
  6. Step 6: Final answer
    x = 4,567.38

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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.