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Finding the Fourth Proportional to 3,998.75, 5,997.84 and 1,657.87

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Solution

The fourth proportional to 3,998.75, 5,997.84 and 1,657.87 is: 2,486.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,998.75 : 5,997.84 = 1,657.87 : x
  2. Step 2: Convert to fraction form
    3,998.75/5,997.84 = 1,657.87/x
  3. Step 3: Cross multiply
    3,998.75x = 5,997.84 × 1,657.87
  4. Step 4: Simplify right side
    3,998.75x = 9,943,639.00
  5. Step 5: Solve for x
    x = 9,943,639.00/3,998.75
  6. Step 6: Final answer
    x = 2,486.69

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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.