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Finding the Fourth Proportional to 5,329.42, 7,354.61 and 3,091.73

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Solution

The fourth proportional to 5,329.42, 7,354.61 and 3,091.73 is: 4,266.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,329.42 : 7,354.61 = 3,091.73 : x
  2. Step 2: Convert to fraction form
    5,329.42/7,354.61 = 3,091.73/x
  3. Step 3: Cross multiply
    5,329.42x = 7,354.61 × 3,091.73
  4. Step 4: Simplify right side
    5,329.42x = 22,738,468.38
  5. Step 5: Solve for x
    x = 22,738,468.38/5,329.42
  6. Step 6: Final answer
    x = 4,266.59

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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.