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Finding the Fourth Proportional to 3,776.84, 5,665.07 and 1,801.03

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Solution

The fourth proportional to 3,776.84, 5,665.07 and 1,801.03 is: 2,701.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,776.84 : 5,665.07 = 1,801.03 : x
  2. Step 2: Convert to fraction form
    3,776.84/5,665.07 = 1,801.03/x
  3. Step 3: Cross multiply
    3,776.84x = 5,665.07 × 1,801.03
  4. Step 4: Simplify right side
    3,776.84x = 10,202,923.69
  5. Step 5: Solve for x
    x = 10,202,923.69/3,776.84
  6. Step 6: Final answer
    x = 2,701.44

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.