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Finding the Fourth Proportional to 4,502.79, 6,732 and 3,817.13

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Solution

The fourth proportional to 4,502.79, 6,732 and 3,817.13 is: 5,706.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,502.79 : 6,732 = 3,817.13 : x
  2. Step 2: Convert to fraction form
    4,502.79/6,732 = 3,817.13/x
  3. Step 3: Cross multiply
    4,502.79x = 6,732 × 3,817.13
  4. Step 4: Simplify right side
    4,502.79x = 25,696,919.16
  5. Step 5: Solve for x
    x = 25,696,919.16/4,502.79
  6. Step 6: Final answer
    x = 5,706.89

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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.