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Finding the Fourth Proportional to 3,754.13, 5,629.52 and 1,998.76

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Solution

The fourth proportional to 3,754.13, 5,629.52 and 1,998.76 is: 2,997.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,754.13 : 5,629.52 = 1,998.76 : x
  2. Step 2: Convert to fraction form
    3,754.13/5,629.52 = 1,998.76/x
  3. Step 3: Cross multiply
    3,754.13x = 5,629.52 × 1,998.76
  4. Step 4: Simplify right side
    3,754.13x = 11,252,050.32
  5. Step 5: Solve for x
    x = 11,252,050.32/3,754.13
  6. Step 6: Final answer
    x = 2,997.24

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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.