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Finding the Fourth Proportional to 3,902.22, 5,385.03 and 2,133.84

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Solution

The fourth proportional to 3,902.22, 5,385.03 and 2,133.84 is: 2,944.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,902.22 : 5,385.03 = 2,133.84 : x
  2. Step 2: Convert to fraction form
    3,902.22/5,385.03 = 2,133.84/x
  3. Step 3: Cross multiply
    3,902.22x = 5,385.03 × 2,133.84
  4. Step 4: Simplify right side
    3,902.22x = 11,490,792.42
  5. Step 5: Solve for x
    x = 11,490,792.42/3,902.22
  6. Step 6: Final answer
    x = 2,944.68

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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.