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Finding the Fourth Proportional to 5,156.46, 7,738.45 and 1,869.82

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Solution

The fourth proportional to 5,156.46, 7,738.45 and 1,869.82 is: 2,806.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,156.46 : 7,738.45 = 1,869.82 : x
  2. Step 2: Convert to fraction form
    5,156.46/7,738.45 = 1,869.82/x
  3. Step 3: Cross multiply
    5,156.46x = 7,738.45 × 1,869.82
  4. Step 4: Simplify right side
    5,156.46x = 14,469,484.56
  5. Step 5: Solve for x
    x = 14,469,484.56/5,156.46
  6. Step 6: Final answer
    x = 2,806.09

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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.