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Finding the Fourth Proportional to 4,806.92, 7,211.17 and 1,475.09

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Solution

The fourth proportional to 4,806.92, 7,211.17 and 1,475.09 is: 2,212.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,806.92 : 7,211.17 = 1,475.09 : x
  2. Step 2: Convert to fraction form
    4,806.92/7,211.17 = 1,475.09/x
  3. Step 3: Cross multiply
    4,806.92x = 7,211.17 × 1,475.09
  4. Step 4: Simplify right side
    4,806.92x = 10,637,088.70
  5. Step 5: Solve for x
    x = 10,637,088.70/4,806.92
  6. Step 6: Final answer
    x = 2,212.87

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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.