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Finding the Fourth Proportional to 5,711.96, 7,882.55 and 3,322.05

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Solution

The fourth proportional to 5,711.96, 7,882.55 and 3,322.05 is: 4,584.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,711.96 : 7,882.55 = 3,322.05 : x
  2. Step 2: Convert to fraction form
    5,711.96/7,882.55 = 3,322.05/x
  3. Step 3: Cross multiply
    5,711.96x = 7,882.55 × 3,322.05
  4. Step 4: Simplify right side
    5,711.96x = 26,186,225.23
  5. Step 5: Solve for x
    x = 26,186,225.23/5,711.96
  6. Step 6: Final answer
    x = 4,584.46

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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.