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Finding the Fourth Proportional to 3,892.56, 5,838.84 and 2,596.56

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Solution

The fourth proportional to 3,892.56, 5,838.84 and 2,596.56 is: 3,894.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,892.56 : 5,838.84 = 2,596.56 : x
  2. Step 2: Convert to fraction form
    3,892.56/5,838.84 = 2,596.56/x
  3. Step 3: Cross multiply
    3,892.56x = 5,838.84 × 2,596.56
  4. Step 4: Simplify right side
    3,892.56x = 15,160,898.39
  5. Step 5: Solve for x
    x = 15,160,898.39/3,892.56
  6. Step 6: Final answer
    x = 3,894.84

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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.