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Finding the Fourth Proportional to 5,966.02, 8,949.11 and 1,806.06

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Solution

The fourth proportional to 5,966.02, 8,949.11 and 1,806.06 is: 2,709.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,966.02 : 8,949.11 = 1,806.06 : x
  2. Step 2: Convert to fraction form
    5,966.02/8,949.11 = 1,806.06/x
  3. Step 3: Cross multiply
    5,966.02x = 8,949.11 × 1,806.06
  4. Step 4: Simplify right side
    5,966.02x = 16,162,629.61
  5. Step 5: Solve for x
    x = 16,162,629.61/5,966.02
  6. Step 6: Final answer
    x = 2,709.11

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.