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Finding the Fourth Proportional to 5,966.05, 8,949.17 and 1,806.10

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Solution

The fourth proportional to 5,966.05, 8,949.17 and 1,806.10 is: 2,709.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.05 : 8,949.17 = 1,806.10 : x
  2. Step 2: Convert to fraction form
    5,966.05/8,949.17 = 1,806.10/x
  3. Step 3: Cross multiply
    5,966.05x = 8,949.17 × 1,806.10
  4. Step 4: Simplify right side
    5,966.05x = 16,163,095.94
  5. Step 5: Solve for x
    x = 16,163,095.94/5,966.05
  6. Step 6: Final answer
    x = 2,709.18

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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.