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Finding the Fourth Proportional to 5,715.76, 7,882.68 and 3,855.28

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Solution

The fourth proportional to 5,715.76, 7,882.68 and 3,855.28 is: 5,316.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.76 : 7,882.68 = 3,855.28 : x
  2. Step 2: Convert to fraction form
    5,715.76/7,882.68 = 3,855.28/x
  3. Step 3: Cross multiply
    5,715.76x = 7,882.68 × 3,855.28
  4. Step 4: Simplify right side
    5,715.76x = 30,389,938.55
  5. Step 5: Solve for x
    x = 30,389,938.55/5,715.76
  6. Step 6: Final answer
    x = 5,316.87

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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.