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Finding the Fourth Proportional to 5,926.42, 8,879.82 and 5,315.94

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Solution

The fourth proportional to 5,926.42, 8,879.82 and 5,315.94 is: 7,965.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,926.42 : 8,879.82 = 5,315.94 : x
  2. Step 2: Convert to fraction form
    5,926.42/8,879.82 = 5,315.94/x
  3. Step 3: Cross multiply
    5,926.42x = 8,879.82 × 5,315.94
  4. Step 4: Simplify right side
    5,926.42x = 47,204,590.33
  5. Step 5: Solve for x
    x = 47,204,590.33/5,926.42
  6. Step 6: Final answer
    x = 7,965.11

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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.