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Finding the Fourth Proportional to 5,929.94, 8,189.78 and 3,948.89

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Solution

The fourth proportional to 5,929.94, 8,189.78 and 3,948.89 is: 5,453.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,929.94 : 8,189.78 = 3,948.89 : x
  2. Step 2: Convert to fraction form
    5,929.94/8,189.78 = 3,948.89/x
  3. Step 3: Cross multiply
    5,929.94x = 8,189.78 × 3,948.89
  4. Step 4: Simplify right side
    5,929.94x = 32,340,479.65
  5. Step 5: Solve for x
    x = 32,340,479.65/5,929.94
  6. Step 6: Final answer
    x = 5,453.76

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.