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Finding the Fourth Proportional to 5,711.86, 7,882.68 and 3,193.93

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Solution

The fourth proportional to 5,711.86, 7,882.68 and 3,193.93 is: 4,407.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.86 : 7,882.68 = 3,193.93 : x
  2. Step 2: Convert to fraction form
    5,711.86/7,882.68 = 3,193.93/x
  3. Step 3: Cross multiply
    5,711.86x = 7,882.68 × 3,193.93
  4. Step 4: Simplify right side
    5,711.86x = 25,176,728.13
  5. Step 5: Solve for x
    x = 25,176,728.13/5,711.86
  6. Step 6: Final answer
    x = 4,407.80

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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.