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Finding the Fourth Proportional to 3,656.05, 5,484.12 and 1,190.88

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Solution

The fourth proportional to 3,656.05, 5,484.12 and 1,190.88 is: 1,786.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,656.05 : 5,484.12 = 1,190.88 : x
  2. Step 2: Convert to fraction form
    3,656.05/5,484.12 = 1,190.88/x
  3. Step 3: Cross multiply
    3,656.05x = 5,484.12 × 1,190.88
  4. Step 4: Simplify right side
    3,656.05x = 6,530,928.83
  5. Step 5: Solve for x
    x = 6,530,928.83/3,656.05
  6. Step 6: Final answer
    x = 1,786.33

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.