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Finding the Fourth Proportional to 4,981.28, 7,463.28 and 3,676.64

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Solution

The fourth proportional to 4,981.28, 7,463.28 and 3,676.64 is: 5,508.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,981.28 : 7,463.28 = 3,676.64 : x
  2. Step 2: Convert to fraction form
    4,981.28/7,463.28 = 3,676.64/x
  3. Step 3: Cross multiply
    4,981.28x = 7,463.28 × 3,676.64
  4. Step 4: Simplify right side
    4,981.28x = 27,439,793.78
  5. Step 5: Solve for x
    x = 27,439,793.78/4,981.28
  6. Step 6: Final answer
    x = 5,508.58

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Why These Related Problems?

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