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Finding the Fourth Proportional to 3,661.34, 5,052.83 and 2,046.47

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Solution

The fourth proportional to 3,661.34, 5,052.83 and 2,046.47 is: 2,824.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,661.34 : 5,052.83 = 2,046.47 : x
  2. Step 2: Convert to fraction form
    3,661.34/5,052.83 = 2,046.47/x
  3. Step 3: Cross multiply
    3,661.34x = 5,052.83 × 2,046.47
  4. Step 4: Simplify right side
    3,661.34x = 10,340,429.51
  5. Step 5: Solve for x
    x = 10,340,429.51/3,661.34
  6. Step 6: Final answer
    x = 2,824.22

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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.