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Finding the Fourth Proportional to 5,183.84, 7,775.84 and 1,896.92

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Solution

The fourth proportional to 5,183.84, 7,775.84 and 1,896.92 is: 2,845.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,183.84 : 7,775.84 = 1,896.92 : x
  2. Step 2: Convert to fraction form
    5,183.84/7,775.84 = 1,896.92/x
  3. Step 3: Cross multiply
    5,183.84x = 7,775.84 × 1,896.92
  4. Step 4: Simplify right side
    5,183.84x = 14,750,146.41
  5. Step 5: Solve for x
    x = 14,750,146.41/5,183.84
  6. Step 6: Final answer
    x = 2,845.41

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1.5x scale

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.