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Finding the Fourth Proportional to 3,662.34, 5,053.23 and 2,169.51

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Solution

The fourth proportional to 3,662.34, 5,053.23 and 2,169.51 is: 2,993.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,662.34 : 5,053.23 = 2,169.51 : x
  2. Step 2: Convert to fraction form
    3,662.34/5,053.23 = 2,169.51/x
  3. Step 3: Cross multiply
    3,662.34x = 5,053.23 × 2,169.51
  4. Step 4: Simplify right side
    3,662.34x = 10,963,033.02
  5. Step 5: Solve for x
    x = 10,963,033.02/3,662.34
  6. Step 6: Final answer
    x = 2,993.45

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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.