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Finding the Fourth Proportional to 3,838.48, 5,757.56 and 1,618.48

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Solution

The fourth proportional to 3,838.48, 5,757.56 and 1,618.48 is: 2,427.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,838.48 : 5,757.56 = 1,618.48 : x
  2. Step 2: Convert to fraction form
    3,838.48/5,757.56 = 1,618.48/x
  3. Step 3: Cross multiply
    3,838.48x = 5,757.56 × 1,618.48
  4. Step 4: Simplify right side
    3,838.48x = 9,318,495.71
  5. Step 5: Solve for x
    x = 9,318,495.71/3,838.48
  6. Step 6: Final answer
    x = 2,427.65

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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.