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Finding the Fourth Proportional to 5,855.33, 8,079.15 and 3,464.12

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Solution

The fourth proportional to 5,855.33, 8,079.15 and 3,464.12 is: 4,779.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.33 : 8,079.15 = 3,464.12 : x
  2. Step 2: Convert to fraction form
    5,855.33/8,079.15 = 3,464.12/x
  3. Step 3: Cross multiply
    5,855.33x = 8,079.15 × 3,464.12
  4. Step 4: Simplify right side
    5,855.33x = 27,987,087.38
  5. Step 5: Solve for x
    x = 27,987,087.38/5,855.33
  6. Step 6: Final answer
    x = 4,779.77

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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.