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Finding the Fourth Proportional to 3,680.54, 5,082.04 and 2,356.49

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Solution

The fourth proportional to 3,680.54, 5,082.04 and 2,356.49 is: 3,253.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,680.54 : 5,082.04 = 2,356.49 : x
  2. Step 2: Convert to fraction form
    3,680.54/5,082.04 = 2,356.49/x
  3. Step 3: Cross multiply
    3,680.54x = 5,082.04 × 2,356.49
  4. Step 4: Simplify right side
    3,680.54x = 11,975,792.09
  5. Step 5: Solve for x
    x = 11,975,792.09/3,680.54
  6. Step 6: Final answer
    x = 3,253.81

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.