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Finding the Fourth Proportional to 3,632.12, 5,444.92 and 1,322

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Solution

The fourth proportional to 3,632.12, 5,444.92 and 1,322 is: 1,981.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,632.12 : 5,444.92 = 1,322 : x
  2. Step 2: Convert to fraction form
    3,632.12/5,444.92 = 1,322/x
  3. Step 3: Cross multiply
    3,632.12x = 5,444.92 × 1,322
  4. Step 4: Simplify right side
    3,632.12x = 7,198,184.24
  5. Step 5: Solve for x
    x = 7,198,184.24/3,632.12
  6. Step 6: Final answer
    x = 1,981.81

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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.