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Finding the Fourth Proportional to 3,673.64, 5,510.73 and 1,076.78

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Solution

The fourth proportional to 3,673.64, 5,510.73 and 1,076.78 is: 1,615.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,673.64 : 5,510.73 = 1,076.78 : x
  2. Step 2: Convert to fraction form
    3,673.64/5,510.73 = 1,076.78/x
  3. Step 3: Cross multiply
    3,673.64x = 5,510.73 × 1,076.78
  4. Step 4: Simplify right side
    3,673.64x = 5,933,843.85
  5. Step 5: Solve for x
    x = 5,933,843.85/3,673.64
  6. Step 6: Final answer
    x = 1,615.25

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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.