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Finding the Fourth Proportional to 3,385.56, 5,078.28 and 1,077

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Solution

The fourth proportional to 3,385.56, 5,078.28 and 1,077 is: 1,615.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,385.56 : 5,078.28 = 1,077 : x
  2. Step 2: Convert to fraction form
    3,385.56/5,078.28 = 1,077/x
  3. Step 3: Cross multiply
    3,385.56x = 5,078.28 × 1,077
  4. Step 4: Simplify right side
    3,385.56x = 5,469,307.56
  5. Step 5: Solve for x
    x = 5,469,307.56/3,385.56
  6. Step 6: Final answer
    x = 1,615.48

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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.