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Finding the Fourth Proportional to 5,266.44, 7,900.74 and 1,806.12

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Solution

The fourth proportional to 5,266.44, 7,900.74 and 1,806.12 is: 2,709.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,266.44 : 7,900.74 = 1,806.12 : x
  2. Step 2: Convert to fraction form
    5,266.44/7,900.74 = 1,806.12/x
  3. Step 3: Cross multiply
    5,266.44x = 7,900.74 × 1,806.12
  4. Step 4: Simplify right side
    5,266.44x = 14,269,684.53
  5. Step 5: Solve for x
    x = 14,269,684.53/5,266.44
  6. Step 6: Final answer
    x = 2,709.55

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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.