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Finding the Fourth Proportional to 5,198.96, 7,797.72 and 1,688.96

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Solution

The fourth proportional to 5,198.96, 7,797.72 and 1,688.96 is: 2,533.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,198.96 : 7,797.72 = 1,688.96 : x
  2. Step 2: Convert to fraction form
    5,198.96/7,797.72 = 1,688.96/x
  3. Step 3: Cross multiply
    5,198.96x = 7,797.72 × 1,688.96
  4. Step 4: Simplify right side
    5,198.96x = 13,170,037.17
  5. Step 5: Solve for x
    x = 13,170,037.17/5,198.96
  6. Step 6: Final answer
    x = 2,533.21

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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.