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Finding the Fourth Proportional to 3,900.84, 5,383.08 and 2,132.40

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Solution

The fourth proportional to 3,900.84, 5,383.08 and 2,132.40 is: 2,942.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,900.84 : 5,383.08 = 2,132.40 : x
  2. Step 2: Convert to fraction form
    3,900.84/5,383.08 = 2,132.40/x
  3. Step 3: Cross multiply
    3,900.84x = 5,383.08 × 2,132.40
  4. Step 4: Simplify right side
    3,900.84x = 11,478,879.79
  5. Step 5: Solve for x
    x = 11,478,879.79/3,900.84
  6. Step 6: Final answer
    x = 2,942.67

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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.