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Finding the Fourth Proportional to 5,167.92, 7,706.76 and 4,818

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Solution

The fourth proportional to 5,167.92, 7,706.76 and 4,818 is: 7,184.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,167.92 : 7,706.76 = 4,818 : x
  2. Step 2: Convert to fraction form
    5,167.92/7,706.76 = 4,818/x
  3. Step 3: Cross multiply
    5,167.92x = 7,706.76 × 4,818
  4. Step 4: Simplify right side
    5,167.92x = 37,131,169.68
  5. Step 5: Solve for x
    x = 37,131,169.68/5,167.92
  6. Step 6: Final answer
    x = 7,184.94

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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.