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Finding the Fourth Proportional to 3,796.84, 5,696.52 and 2,560.96

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Solution

The fourth proportional to 3,796.84, 5,696.52 and 2,560.96 is: 3,842.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,796.84 : 5,696.52 = 2,560.96 : x
  2. Step 2: Convert to fraction form
    3,796.84/5,696.52 = 2,560.96/x
  3. Step 3: Cross multiply
    3,796.84x = 5,696.52 × 2,560.96
  4. Step 4: Simplify right side
    3,796.84x = 14,588,559.86
  5. Step 5: Solve for x
    x = 14,588,559.86/3,796.84
  6. Step 6: Final answer
    x = 3,842.29

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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.