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Finding the Fourth Proportional to 4,502.80, 6,732 and 3,817.12

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Solution

The fourth proportional to 4,502.80, 6,732 and 3,817.12 is: 5,706.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.80 : 6,732 = 3,817.12 : x
  2. Step 2: Convert to fraction form
    4,502.80/6,732 = 3,817.12/x
  3. Step 3: Cross multiply
    4,502.80x = 6,732 × 3,817.12
  4. Step 4: Simplify right side
    4,502.80x = 25,696,851.84
  5. Step 5: Solve for x
    x = 25,696,851.84/4,502.80
  6. Step 6: Final answer
    x = 5,706.86

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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.