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Finding the Fourth Proportional to 5,711.58, 7,881.75 and 3,193.65

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Solution

The fourth proportional to 5,711.58, 7,881.75 and 3,193.65 is: 4,407.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.58 : 7,881.75 = 3,193.65 : x
  2. Step 2: Convert to fraction form
    5,711.58/7,881.75 = 3,193.65/x
  3. Step 3: Cross multiply
    5,711.58x = 7,881.75 × 3,193.65
  4. Step 4: Simplify right side
    5,711.58x = 25,171,550.89
  5. Step 5: Solve for x
    x = 25,171,550.89/5,711.58
  6. Step 6: Final answer
    x = 4,407.11

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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.