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Finding the Fourth Proportional to 3,981.42, 5,494.32 and 2,212.98

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Solution

The fourth proportional to 3,981.42, 5,494.32 and 2,212.98 is: 3,053.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,981.42 : 5,494.32 = 2,212.98 : x
  2. Step 2: Convert to fraction form
    3,981.42/5,494.32 = 2,212.98/x
  3. Step 3: Cross multiply
    3,981.42x = 5,494.32 × 2,212.98
  4. Step 4: Simplify right side
    3,981.42x = 12,158,820.27
  5. Step 5: Solve for x
    x = 12,158,820.27/3,981.42
  6. Step 6: Final answer
    x = 3,053.89

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.