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Finding the Fourth Proportional to 5,709.12, 7,878.42 and 3,191.24

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Solution

The fourth proportional to 5,709.12, 7,878.42 and 3,191.24 is: 4,403.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,709.12 : 7,878.42 = 3,191.24 : x
  2. Step 2: Convert to fraction form
    5,709.12/7,878.42 = 3,191.24/x
  3. Step 3: Cross multiply
    5,709.12x = 7,878.42 × 3,191.24
  4. Step 4: Simplify right side
    5,709.12x = 25,141,889.65
  5. Step 5: Solve for x
    x = 25,141,889.65/5,709.12
  6. Step 6: Final answer
    x = 4,403.81

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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.