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Finding the Fourth Proportional to 3,676.28, 5,513.70 and 1,078.52

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Solution

The fourth proportional to 3,676.28, 5,513.70 and 1,078.52 is: 1,617.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,676.28 : 5,513.70 = 1,078.52 : x
  2. Step 2: Convert to fraction form
    3,676.28/5,513.70 = 1,078.52/x
  3. Step 3: Cross multiply
    3,676.28x = 5,513.70 × 1,078.52
  4. Step 4: Simplify right side
    3,676.28x = 5,946,635.72
  5. Step 5: Solve for x
    x = 5,946,635.72/3,676.28
  6. Step 6: Final answer
    x = 1,617.57

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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.