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Finding the Fourth Proportional to 3,962.64, 5,944.27 and 1,189.11

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Solution

The fourth proportional to 3,962.64, 5,944.27 and 1,189.11 is: 1,783.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,962.64 : 5,944.27 = 1,189.11 : x
  2. Step 2: Convert to fraction form
    3,962.64/5,944.27 = 1,189.11/x
  3. Step 3: Cross multiply
    3,962.64x = 5,944.27 × 1,189.11
  4. Step 4: Simplify right side
    3,962.64x = 7,068,412.45
  5. Step 5: Solve for x
    x = 7,068,412.45/3,962.64
  6. Step 6: Final answer
    x = 1,783.76

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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.