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Finding the Fourth Proportional to 3,640.49, 5,023.46 and 2,046.81

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Solution

The fourth proportional to 3,640.49, 5,023.46 and 2,046.81 is: 2,824.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,640.49 : 5,023.46 = 2,046.81 : x
  2. Step 2: Convert to fraction form
    3,640.49/5,023.46 = 2,046.81/x
  3. Step 3: Cross multiply
    3,640.49x = 5,023.46 × 2,046.81
  4. Step 4: Simplify right side
    3,640.49x = 10,282,068.16
  5. Step 5: Solve for x
    x = 10,282,068.16/3,640.49
  6. Step 6: Final answer
    x = 2,824.36

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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.