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Finding the Fourth Proportional to 3,796.02, 5,694.02 and 1,199.16

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Solution

The fourth proportional to 3,796.02, 5,694.02 and 1,199.16 is: 1,798.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.02 : 5,694.02 = 1,199.16 : x
  2. Step 2: Convert to fraction form
    3,796.02/5,694.02 = 1,199.16/x
  3. Step 3: Cross multiply
    3,796.02x = 5,694.02 × 1,199.16
  4. Step 4: Simplify right side
    3,796.02x = 6,828,041.02
  5. Step 5: Solve for x
    x = 6,828,041.02/3,796.02
  6. Step 6: Final answer
    x = 1,798.74

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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.