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Finding the Fourth Proportional to 3,763.64, 5,193.81 and 2,107.64

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Solution

The fourth proportional to 3,763.64, 5,193.81 and 2,107.64 is: 2,908.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,763.64 : 5,193.81 = 2,107.64 : x
  2. Step 2: Convert to fraction form
    3,763.64/5,193.81 = 2,107.64/x
  3. Step 3: Cross multiply
    3,763.64x = 5,193.81 × 2,107.64
  4. Step 4: Simplify right side
    3,763.64x = 10,946,681.71
  5. Step 5: Solve for x
    x = 10,946,681.71/3,763.64
  6. Step 6: Final answer
    x = 2,908.54

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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.