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Finding the Fourth Proportional to 3,779.91, 5,213.79 and 2,288.28

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Solution

The fourth proportional to 3,779.91, 5,213.79 and 2,288.28 is: 3,156.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,779.91 : 5,213.79 = 2,288.28 : x
  2. Step 2: Convert to fraction form
    3,779.91/5,213.79 = 2,288.28/x
  3. Step 3: Cross multiply
    3,779.91x = 5,213.79 × 2,288.28
  4. Step 4: Simplify right side
    3,779.91x = 11,930,611.38
  5. Step 5: Solve for x
    x = 11,930,611.38/3,779.91
  6. Step 6: Final answer
    x = 3,156.32

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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.