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Finding the Fourth Proportional to 3,894.95, 5,842.26 and 2,140.79

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Solution

The fourth proportional to 3,894.95, 5,842.26 and 2,140.79 is: 3,211.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,894.95 : 5,842.26 = 2,140.79 : x
  2. Step 2: Convert to fraction form
    3,894.95/5,842.26 = 2,140.79/x
  3. Step 3: Cross multiply
    3,894.95x = 5,842.26 × 2,140.79
  4. Step 4: Simplify right side
    3,894.95x = 12,507,022.57
  5. Step 5: Solve for x
    x = 12,507,022.57/3,894.95
  6. Step 6: Final answer
    x = 3,211.09

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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.