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Finding the Fourth Proportional to 4,513.76, 6,732.16 and 3,824.96

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Solution

The fourth proportional to 4,513.76, 6,732.16 and 3,824.96 is: 5,704.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,513.76 : 6,732.16 = 3,824.96 : x
  2. Step 2: Convert to fraction form
    4,513.76/6,732.16 = 3,824.96/x
  3. Step 3: Cross multiply
    4,513.76x = 6,732.16 × 3,824.96
  4. Step 4: Simplify right side
    4,513.76x = 25,750,242.71
  5. Step 5: Solve for x
    x = 25,750,242.71/4,513.76
  6. Step 6: Final answer
    x = 5,704.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.