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Finding the Fourth Proportional to 3,662.24, 5,492.66 and 1,196.68

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Solution

The fourth proportional to 3,662.24, 5,492.66 and 1,196.68 is: 1,794.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.24 : 5,492.66 = 1,196.68 : x
  2. Step 2: Convert to fraction form
    3,662.24/5,492.66 = 1,196.68/x
  3. Step 3: Cross multiply
    3,662.24x = 5,492.66 × 1,196.68
  4. Step 4: Simplify right side
    3,662.24x = 6,572,956.37
  5. Step 5: Solve for x
    x = 6,572,956.37/3,662.24
  6. Step 6: Final answer
    x = 1,794.79

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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.