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Finding the Fourth Proportional to 3,576.64, 5,365.24 and 1,385.20

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Solution

The fourth proportional to 3,576.64, 5,365.24 and 1,385.20 is: 2,077.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,576.64 : 5,365.24 = 1,385.20 : x
  2. Step 2: Convert to fraction form
    3,576.64/5,365.24 = 1,385.20/x
  3. Step 3: Cross multiply
    3,576.64x = 5,365.24 × 1,385.20
  4. Step 4: Simplify right side
    3,576.64x = 7,431,930.45
  5. Step 5: Solve for x
    x = 7,431,930.45/3,576.64
  6. Step 6: Final answer
    x = 2,077.91

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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.