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Finding the Fourth Proportional to 5,715.28, 8,576.16 and 3,768.40

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Solution

The fourth proportional to 5,715.28, 8,576.16 and 3,768.40 is: 5,654.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,715.28 : 8,576.16 = 3,768.40 : x
  2. Step 2: Convert to fraction form
    5,715.28/8,576.16 = 3,768.40/x
  3. Step 3: Cross multiply
    5,715.28x = 8,576.16 × 3,768.40
  4. Step 4: Simplify right side
    5,715.28x = 32,318,401.34
  5. Step 5: Solve for x
    x = 32,318,401.34/5,715.28
  6. Step 6: Final answer
    x = 5,654.74

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.