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Finding the Fourth Proportional to 5,144.05, 7,711.46 and 1,856.37

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Solution

The fourth proportional to 5,144.05, 7,711.46 and 1,856.37 is: 2,782.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,144.05 : 7,711.46 = 1,856.37 : x
  2. Step 2: Convert to fraction form
    5,144.05/7,711.46 = 1,856.37/x
  3. Step 3: Cross multiply
    5,144.05x = 7,711.46 × 1,856.37
  4. Step 4: Simplify right side
    5,144.05x = 14,315,313.72
  5. Step 5: Solve for x
    x = 14,315,313.72/5,144.05
  6. Step 6: Final answer
    x = 2,782.89

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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.