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Finding the Fourth Proportional to 4,581.92, 6,869.82 and 1,806.86

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Solution

The fourth proportional to 4,581.92, 6,869.82 and 1,806.86 is: 2,709.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,581.92 : 6,869.82 = 1,806.86 : x
  2. Step 2: Convert to fraction form
    4,581.92/6,869.82 = 1,806.86/x
  3. Step 3: Cross multiply
    4,581.92x = 6,869.82 × 1,806.86
  4. Step 4: Simplify right side
    4,581.92x = 12,412,802.97
  5. Step 5: Solve for x
    x = 12,412,802.97/4,581.92
  6. Step 6: Final answer
    x = 2,709.08

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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.