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Finding the Fourth Proportional to 5,259.84, 7,892.96 and 2,338.56

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Solution

The fourth proportional to 5,259.84, 7,892.96 and 2,338.56 is: 3,509.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,259.84 : 7,892.96 = 2,338.56 : x
  2. Step 2: Convert to fraction form
    5,259.84/7,892.96 = 2,338.56/x
  3. Step 3: Cross multiply
    5,259.84x = 7,892.96 × 2,338.56
  4. Step 4: Simplify right side
    5,259.84x = 18,458,160.54
  5. Step 5: Solve for x
    x = 18,458,160.54/5,259.84
  6. Step 6: Final answer
    x = 3,509.26

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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.