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Finding the Fourth Proportional to 5,294.38, 7,934.73 and 2,521.90

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Solution

The fourth proportional to 5,294.38, 7,934.73 and 2,521.90 is: 3,779.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,294.38 : 7,934.73 = 2,521.90 : x
  2. Step 2: Convert to fraction form
    5,294.38/7,934.73 = 2,521.90/x
  3. Step 3: Cross multiply
    5,294.38x = 7,934.73 × 2,521.90
  4. Step 4: Simplify right side
    5,294.38x = 20,010,563.14
  5. Step 5: Solve for x
    x = 20,010,563.14/5,294.38
  6. Step 6: Final answer
    x = 3,779.59

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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.