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Finding the Fourth Proportional to 3,842.90, 5,768.95 and 2,606.56

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Solution

The fourth proportional to 3,842.90, 5,768.95 and 2,606.56 is: 3,912.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842.90 : 5,768.95 = 2,606.56 : x
  2. Step 2: Convert to fraction form
    3,842.90/5,768.95 = 2,606.56/x
  3. Step 3: Cross multiply
    3,842.90x = 5,768.95 × 2,606.56
  4. Step 4: Simplify right side
    3,842.90x = 15,037,114.31
  5. Step 5: Solve for x
    x = 15,037,114.31/3,842.90
  6. Step 6: Final answer
    x = 3,912.96

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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.