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Finding the Fourth Proportional to 3,994.42, 5,512.10 and 2,201.84

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Solution

The fourth proportional to 3,994.42, 5,512.10 and 2,201.84 is: 3,038.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,994.42 : 5,512.10 = 2,201.84 : x
  2. Step 2: Convert to fraction form
    3,994.42/5,512.10 = 2,201.84/x
  3. Step 3: Cross multiply
    3,994.42x = 5,512.10 × 2,201.84
  4. Step 4: Simplify right side
    3,994.42x = 12,136,762.26
  5. Step 5: Solve for x
    x = 12,136,762.26/3,994.42
  6. Step 6: Final answer
    x = 3,038.43

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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.